Answer:
1,) x² - 64= (x−8)(x+8)
With sulotion:
1 Use the sum-product pattern
x2−64
x2+8x−8x−64
2 Common factor from the two pairs
x(x+8)−8(x+8)
3 Rewrite in factored form
the answer is (x−8)(x+8)
______________________________________
2,) x²+4x+4=(x+2)
x2+4x+4
x2+2x+2x+4
x(x+2)+2(x+2)
3vRewrite in factored form
(x2)(x+2)
4 Combine to a square
(x+2)(x+2)
the answer is (x+2)2
3,) m²-m-6=(m-3)(m+2
m2−m−6
m2+2m−3m−6
m(m+2)−3(m+2)
the answer is (m−3)(m+2)
4,) y²+3-18=y2-5
1 Subtract the numbers
y2+3−18
the answer is y2−15
5,) x²-6+9=x2+3
1 Add the numbers
x2−6+9
the answer is x2+3
Step-by-step explanation:
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Answers & Comments
Answer:
1,) x² - 64= (x−8)(x+8)
With sulotion:
1 Use the sum-product pattern
x2−64
x2+8x−8x−64
2 Common factor from the two pairs
x2+8x−8x−64
x(x+8)−8(x+8)
3 Rewrite in factored form
x(x+8)−8(x+8)
the answer is (x−8)(x+8)
______________________________________
2,) x²+4x+4=(x+2)
With sulotion:
1 Use the sum-product pattern
x2+4x+4
x2+2x+2x+4
2 Common factor from the two pairs
x2+2x+2x+4
x(x+2)+2(x+2)
3vRewrite in factored form
x(x+2)+2(x+2)
(x2)(x+2)
4 Combine to a square
(x+2)(x+2)
the answer is (x+2)2
______________________________________
3,) m²-m-6=(m-3)(m+2
With sulotion:
1 Use the sum-product pattern
m2−m−6
m2+2m−3m−6
2 Common factor from the two pairs
m2+2m−3m−6
m(m+2)−3(m+2)
3 Rewrite in factored form
m(m+2)−3(m+2)
the answer is (m−3)(m+2)
______________________________________
4,) y²+3-18=y2-5
With sulotion:
1 Subtract the numbers
y2+3−18
the answer is y2−15
______________________________________
5,) x²-6+9=x2+3
With sulotion:
1 Add the numbers
x2−6+9
the answer is x2+3
Step-by-step explanation:
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