What is factor (3x+4)^2-(x-5)^2 ?

The solution to factor (3x+4)^2-(x-5)^2 is (4x-1)(2x+9)

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factor (3x+4)^2-(x-5)^2

factor

(3 x + 4)^{2} - (x - 5)^{2}

(4 x - 1) (2 x + 9)

Solution steps

(3 x + 4)^{2} - (x - 5)^{2}

Apply Difference of Two Squares Formula:

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

(3 x + 4)^{2} - (x - 5)^{2} = ((3 x + 4) + (x - 5)) ((3 x + 4) - (x - 5))

= ((3 x + 4) + (x - 5)) ((3 x + 4) - (x - 5))

Simplify

((3 x + 4) + (x - 5)) ((3 x + 4) - (x - 5)) : (4 x - 1) (2 x + 9)

= (4 x - 1) (2 x + 9)

7 x^{3} + 14 x^{2} + 7 x

- (8 x^{3} + 1) + (2 x + 1)^{3}

x^{2} - 4 x = - \frac{2}{11}

2^{\frac{1}{2}} + 2^{\frac{1}{2}}

\frac{1}{15} - \frac{11}{12}

What is factor (3x+4)^2-(x-5)^2 ?
The solution to factor (3x+4)^2-(x-5)^2 is (4x-1)(2x+9)