What is factor (x-3)^2-9y^2 ?

The solution to factor (x-3)^2-9y^2 is (x-3+3y)(x-3-3y)

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factor (x-3)^2-9y^2

factor

(x - 3)^{2} - 9 y^{2}

(x - 3 + 3 y) (x - 3 - 3 y)

Solution steps

(x - 3)^{2} - 9 y^{2}

Simplify

9 y^{2} : (3 y)^{2}

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

Apply Difference of Two Squares Formula:

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

(x - 3)^{2} - (3 y)^{2} = ((x - 3) + 3 y) ((x - 3) - 3 y)

= ((x - 3) + 3 y) ((x - 3) - 3 y)

Apply rule:

(a) = a

(x - 3) = x - 3

= (x - 3 + 3 y) (x - 3 - 3 y)

4 a^{2} - 3 a - 1

(x - 14) (x + 10) = - 104

8 \cdot 32

- 13 < 3 x + 8 \leq 23

10 x - 4 x + 6 < 3 (x + 5)

What is factor (x-3)^2-9y^2 ?
The solution to factor (x-3)^2-9y^2 is (x-3+3y)(x-3-3y)