Solve 28a^{9}b^{9}+8a^6b^5-24a^3b^3

$$28 a ^ { 9 } b ^ { 9 } + 8 a ^ { 6 } b ^ { 5 } - 24 a ^ { 3 } b ^ { 3 }$$

Factor

$$4a^{3}b^{3}\left(7a^{6}b^{6}+2b^{2}a^{3}-6\right)$$

Solution Steps

Factor out 4.

$$4\left(7a^{9}b^{9}+2a^{6}b^{5}-6a^{3}b^{3}\right)$$

Consider 7a^{9}b^{9}+2a^{6}b^{5}-6a^{3}b^{3}. Factor out a^{3}b^{3}.

$$a^{3}b^{3}\left(7a^{6}b^{6}+2a^{3}b^{2}-6\right)$$

Rewrite the complete factored expression.

$$4a^{3}b^{3}\left(7a^{6}b^{6}+2a^{3}b^{2}-6\right)$$

Evaluate

$$4\left(ab\right)^{3}\left(2b^{2}a^{3}+7\left(ab\right)^{6}-6\right)$$