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

The solution to factor 9y^2-(2x-y)^2 is 4(y+x)(2y-x)

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

factor

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

4 (y + x) (2 y - x)

Solution steps

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

Simplify

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

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

Apply Difference of Two Squares Formula:

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

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

= (3 y + (2 x - y)) (3 y - (2 x - y))

Simplify

(3 y + (2 x - y)) (3 y - (2 x - y)) : (2 y + 2 x) (4 y - 2 x)

= (2 y + 2 x) (4 y - 2 x)

Factor

2 y + 2 x : 2 (y + x)

Factor

4 y - 2 x : 2 (2 y - x)

= 2 (y + x) \cdot 2 (2 y - x)

Multiply the numbers:

2 \cdot 2 = 4

= 4 (y + x) (2 y - x)

5 x^{2} + 1 = 37

x^{7} - x^{3}

(2 + 3) (2 - 3)

x = 64 - x^{2}

- 16 t^{2} + 44 t + 28 = 0

What is factor 9y^2-(2x-y)^2 ?
The solution to factor 9y^2-(2x-y)^2 is 4(y+x)(2y-x)