What is factor (12x-y)^2-(4x-3y)^2 ?

The solution to factor (12x-y)^2-(4x-3y)^2 is 8(4x-y)(4x+y)

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factor (12x-y)^2-(4x-3y)^2

factor

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

8 (4 x - y) (4 x + y)

Solution steps

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

Apply Difference of Two Squares Formula:

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

(12 x - y)^{2} - (4 x - 3 y)^{2} = ((12 x - y) + (4 x - 3 y)) ((12 x - y) - (4 x - 3 y))

= ((12 x - y) + (4 x - 3 y)) ((12 x - y) - (4 x - 3 y))

Simplify

((12 x - y) + (4 x - 3 y)) ((12 x - y) - (4 x - 3 y)) : (16 x - 4 y) (8 x + 2 y)

= (16 x - 4 y) (8 x + 2 y)

Factor

16 x - 4 y : 4 (4 x - y)

Factor

8 x + 2 y : 2 (4 x + y)

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

Multiply the numbers:

4 \cdot 2 = 8

= 8 (4 x - y) (4 x + y)

7 x - 21 = x + 15

- \frac{3}{4} x < - 9

x^{3} - x^{2} - 37 x - 35

t^{2} - 10 t + 25

- 4 n = 24

What is factor (12x-y)^2-(4x-3y)^2 ?
The solution to factor (12x-y)^2-(4x-3y)^2 is 8(4x-y)(4x+y)