What is factor (4a+3b)^2-(3a-2b)^2 ?

The solution to factor (4a+3b)^2-(3a-2b)^2 is (7a+b)(a+5b)

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factor (4a+3b)^2-(3a-2b)^2

factor

(4 a + 3 b)^{2} - (3 a - 2 b)^{2}

(7 a + b) (a + 5 b)

Solution steps

(4 a + 3 b)^{2} - (3 a - 2 b)^{2}

Apply Difference of Two Squares Formula:

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

(4 a + 3 b)^{2} - (3 a - 2 b)^{2} = ((4 a + 3 b) + (3 a - 2 b)) ((4 a + 3 b) - (3 a - 2 b))

= ((4 a + 3 b) + (3 a - 2 b)) ((4 a + 3 b) - (3 a - 2 b))

Simplify

((4 a + 3 b) + (3 a - 2 b)) ((4 a + 3 b) - (3 a - 2 b)) : (7 a + b) (a + 5 b)

= (7 a + b) (a + 5 b)

\frac{x + 5}{5} = \frac{9}{8}

\frac{8 a ^{3} - 10 a}{20 a ^{3} - 25 a}

3 x - 6 = - 9 x + 4

\frac{1}{2} \cdot 6 \cdot 9

- 30 \cdot \frac{π}{180}

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