Answer:

1. ( x + 8 )²

2.( x - 6) ( x - 4)

3.(x − 3)(x + 9)

4. (x - 4)²

5. ( x + 2 ) ( x + 5)

Step-by-step explanation:

1.

•Use the sum-product pattern

x²+16x+64

x²+8x+8x+64

•Common factor from the two pairs

x² + 8x + 8x + 64

x² + 8x + 8x + 64x(x + 8) + 8(x + 8)

•Rewrite in factored form

x(x + 8) + 8(x + 8)

x(x + 8) + 8(x + 8)(x + 8) (x + 8)

•Combine to a square

(x + 8)(x + 8)

(x + 8)(x + 8)(x + 8) ²

Solution= (x + 8) ²

2.

•Use the sum-product pattern

x²-10x + 24

x²-4x-6x + 24

•Common factor from the two pairs

x² - 4x - 6x + 24

x(x-4)-6(x-4)

•Rewrite in factored form

x(x-4)-6(x-4)

(x-6)(x-4)

Solution= (x-6)(x-4)

3.

•Use the sum-product pattern

x² +6x-27

x² +9x-3x-27

•Common factor from the two pairs

x² +9x -3x - 27

x(x +9)-3(x + 9)

•Rewrite in factored form

x(x +9)-3(x + 9)

x(x +9)-3(x + 9)(x − 3)(x + 9)

Solution = (x − 3)(x + 9)

sorry if 4-5 has no explanation