What is factor (5x-3)^2-(2x-7)^2 ?

The solution to factor (5x-3)^2-(2x-7)^2 is (7x-10)(3x+4)

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factor (5x-3)^2-(2x-7)^2

factor

(5 x - 3)^{2} - (2 x - 7)^{2}

(7 x - 10) (3 x + 4)

Solution steps

(5 x - 3)^{2} - (2 x - 7)^{2}

Apply Difference of Two Squares Formula:

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

(5 x - 3)^{2} - (2 x - 7)^{2} = ((5 x - 3) + (2 x - 7)) ((5 x - 3) - (2 x - 7))

= ((5 x - 3) + (2 x - 7)) ((5 x - 3) - (2 x - 7))

Simplify

((5 x - 3) + (2 x - 7)) ((5 x - 3) - (2 x - 7)) : (7 x - 10) (3 x + 4)

= (7 x - 10) (3 x + 4)

x^{3} - 7 x^{2} - 13 x + 91

49 - 121 x^{2}

\frac{( 4 h ^{5} ) ^{2}}{20 h ^{8}}

3 i (4 - i)

11 b^{3} + 5 c^{5} + 23 + a^{2} - 6 c^{5} - 3 b^{3} - 6 a^{2} - 16

What is factor (5x-3)^2-(2x-7)^2 ?
The solution to factor (5x-3)^2-(2x-7)^2 is (7x-10)(3x+4)