What is factor (5a-3b)^2-25a^2 ?

The solution to factor (5a-3b)^2-25a^2 is -3b(10a-3b)

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factor (5a-3b)^2-25a^2

factor

(5 a - 3 b)^{2} - 25 a^{2}

- 3 b (10 a - 3 b)

Solution steps

(5 a - 3 b)^{2} - 25 a^{2}

Simplify

25 a^{2} : (5 a)^{2}

= (5 a - 3 b)^{2} - (5 a)^{2}

Apply Difference of Two Squares Formula:

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

(5 a - 3 b)^{2} - (5 a)^{2} = ((5 a - 3 b) + 5 a) ((5 a - 3 b) - 5 a)

= ((5 a - 3 b) + 5 a) ((5 a - 3 b) - 5 a)

Simplify

((5 a - 3 b) + 5 a) ((5 a - 3 b) - 5 a) : - (10 a - 3 b) \cdot 3 b

= - (10 a - 3 b) \cdot 3 b

= - 3 b (10 a - 3 b)

- 2 (3 y - 6) + 4 (5 y - 8) = 92

\frac{5 + 3}{2 - 3}

4 x^{2} - 15 x - 25

8^{2} + 1 6^{2}

\frac{1}{- \frac{1}{3} + 1}

What is factor (5a-3b)^2-25a^2 ?
The solution to factor (5a-3b)^2-25a^2 is -3b(10a-3b)