What is factor 9(a+b)^2-(a-b)^2 ?

The solution to factor 9(a+b)^2-(a-b)^2 is 4(2a+b)(a+2b)

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factor 9(a+b)^2-(a-b)^2

factor

9 (a + b)^{2} - (a - b)^{2}

4 (2 a + b) (a + 2 b)

Solution steps

9 (a + b)^{2} - (a - b)^{2}

Simplify

9 (a + b)^{2} : (3 (a + b))^{2}

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

Apply Difference of Two Squares Formula:

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

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

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

Simplify

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

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

Factor

4 a + 2 b : 2 (2 a + b)

Factor

2 a + 4 b : 2 (a + 2 b)

= 2 (2 a + b) \cdot 2 (a + 2 b)

Multiply the numbers:

2 \cdot 2 = 4

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

64 x^{2} - 48 x + 9 = 0

6 x^{2} + 36 x

\frac{x - 1}{x} < 2

2 x^{2} + 3 x + 2 = - 3

3^{\frac{2}{5}} \cdot 3^{(- \frac{7}{5})}

What is factor 9(a+b)^2-(a-b)^2 ?
The solution to factor 9(a+b)^2-(a-b)^2 is 4(2a+b)(a+2b)