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FACTORING – Difference of Squares Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just that, it is a two term expression, both of which are perfect squares, with a negative sign between them. Format : Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0. The factors of 4 that add up to zero are +2 and (– 2). What factor of 36 add up to zero ?
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FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0.
The factors of 4 that add up to zero are +2 and (– 2).
22 xx
442222 22 xxxxxx
FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0.
The factors of 4 that add up to zero are +2 and (– 2).
What factor of 36 add up to zero ?
22 xx
442222 22 xxxxxx
FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0.
The factors of 4 that add up to zero are +2 and (– 2).
What factor of 36 add up to zero ? +6 and (– 6)
22 xx
442222 22 xxxxxx
FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0.
The factors of 4 that add up to zero are +2 and (– 2).
What factor of 36 add up to zero ? +6 and (– 6)
What factors of 81 add up to zero ?
22 xx
442222 22 xxxxxx
FACTORING – Difference of Squares
Factoring difference of squares is probably the easiest factoring you will encounter. The wording difference of squares is just
that, it is a two term expression, both of which are perfect squares, with a negative sign between them.
bababa 22Format :
Let’s review multiplication of binomials. If we multiplied using FOIL or the array, you would notice that the MIDDLE term would = 0.
The factors of 4 that add up to zero are +2 and (– 2).
What factor of 36 add up to zero ? +6 and (– 6)
What factors of 81 add up to zero ? +9 and (– 9)
22 xx
442222 22 xxxxxx
FACTORING – Difference of Squares
SO when factoring difference of squares, look for perfect square numbers…
,...100,81,64,49,36,25,16,9,4,1
FACTORING – Difference of Squares
SO when factoring difference of squares, look for perfect square numbers…
,...100,81,64,49,36,25,16,9,4,1AND even exponents…
,...,,, 8642 xxxx
FACTORING – Difference of Squares
SO when factoring difference of squares, look for perfect square numbers…
,...100,81,64,49,36,25,16,9,4,1AND even exponents…
,...,,, 8642 xxxx
Use the format bababa 22
FACTORING – Difference of Squares
SO when factoring difference of squares, look for perfect square numbers…
,...100,81,64,49,36,25,16,9,4,1AND even exponents…
,...,,, 8642 xxxx
Use the format bababa 22
To fill in the “a” and “b”…
1. Find the square root of any numbers
2. The square root of an exponent is half of the exponent
FACTORING – Difference of Squares
EXAMPLE # 1 : Factor
bababa 22
252 x
FACTORING – Difference of Squares
EXAMPLE # 1 : Factor
bababa 22
252 x
xx
2
525
FACTORING – Difference of Squares
EXAMPLE # 1 : Factor
bababa 22
55252 xxx
xx
2
525
FACTORING – Difference of Squares
EXAMPLE # 2 : Factor
bababa 22
4916 2 a
FACTORING – Difference of Squares
EXAMPLE # 2 : Factor
bababa 22
4916 2 a
749
416 2
aa
FACTORING – Difference of Squares
EXAMPLE # 2 : Factor
bababa 22
74744916 2 aaa
749
416 2
aa
FACTORING – Difference of Squares
EXAMPLE # 3 : Factor
bababa 22
136 4 m
FACTORING – Difference of Squares
EXAMPLE # 3 : Factor
bababa 22
136 4 m
11
636 24
mm
FACTORING – Difference of Squares
EXAMPLE # 3 : Factor
bababa 22
1616136 224 mmm
11
636 24
mm
