What is factor-16a^4b^6-24a^5b^5-9a^6b^4 ?

The solution to factor-16a^4b^6-24a^5b^5-9a^6b^4 is -a^4b^4(3a+4b)^2

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factor-16a^4b^6-24a^5b^5-9a^6b^4

factor

- 16 a^{4} b^{6} - 24 a^{5} b^{5} - 9 a^{6} b^{4}

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

Solution steps

- 16 a^{4} b^{6} - 24 a^{5} b^{5} - 9 a^{6} b^{4}

Factor out common term

- a^{4} b^{4} : - a^{4} b^{4} (16 b^{2} + 24 ab + 9 a^{2})

= - a^{4} b^{4} (16 b^{2} + 24 ab + 9 a^{2})

Factor

16 b^{2} + 24 ab + 9 a^{2} : (3 a + 4 b) (3 a + 4 b)

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

Apply exponent rule:

aa = a^{2}

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

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

(2 x + 3) \cdot 0.4 x

\frac{( 6 y ^{3} ) ^{3}}{2 y ^{5}}

a^{9} - b^{9}

x y - y + x - 1

(2 x + 3)^{5} \cdot (3 - x)^{4}

What is factor-16a^4b^6-24a^5b^5-9a^6b^4 ?
The solution to factor-16a^4b^6-24a^5b^5-9a^6b^4 is -a^4b^4(3a+4b)^2