What is factor (x+2)^2-(x+7)^2 ?

The solution to factor (x+2)^2-(x+7)^2 is -5(2x+9)

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factor (x+2)^2-(x+7)^2

factor

(x + 2)^{2} - (x + 7)^{2}

- 5 (2 x + 9)

Solution steps

(x + 2)^{2} - (x + 7)^{2}

Apply Difference of Two Squares Formula:

x^{2} - y^{2} = (x + y) (x - y)

(x + 2)^{2} - (x + 7)^{2} = ((x + 2) + (x + 7)) ((x + 2) - (x + 7))

= ((x + 2) + (x + 7)) ((x + 2) - (x + 7))

Simplify

((x + 2) + (x + 7)) ((x + 2) - (x + 7)) : - (2 x + 9) \cdot 5

= - (2 x + 9) \cdot 5

= - 5 (2 x + 9)

(x^{2} y^{- 1})^{- 3}

(3 x^{4} y^{2})^{4}

\frac{15}{15}

(3 k - 1) (4 k + 9)

(5 - 2 n)^{3}

What is factor (x+2)^2-(x+7)^2 ?
The solution to factor (x+2)^2-(x+7)^2 is -5(2x+9)