What is factor 24ab-16a^2-9b^2 ?

The solution to factor 24ab-16a^2-9b^2 is -(4a-3b)^2

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factor 24ab-16a^2-9b^2

factor

24 ab - 16 a^{2} - 9 b^{2}

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

Solution steps

24 ab - 16 a^{2} - 9 b^{2}

Group by common factors

= - 16 a^{2} + 24 ab - 9 b^{2}

Break the expression into groups

= (- 16 a^{2} + 12 ab) + (12 ab - 9 b^{2})

Factor out

- 4 a

from

- 16 a^{2} + 12 ab : - 4 a (4 a - 3 b)

Factor out

3 b

from

12 ab - 9 b^{2} : 3 b (4 a - 3 b)

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

Factor out common term

4 a - 3 b

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

Simplify

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

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

\frac{1}{2} + \frac{3}{2}

x - 5 < 3 x + 1 < 17 - x

- 3 x + 1 \geq 10

(1 2^{2})^{\frac{1}{4}}

5 + x - 12 = x - 7

What is factor 24ab-16a^2-9b^2 ?
The solution to factor 24ab-16a^2-9b^2 is -(4a-3b)^2