Solve 14a^2b^2+2ab^8a+35a^4{b}^7{c}^2

$$14 { a }^{ 2 } { b }^{ 2 } +2a { b }^{ 8 } a+35 { a }^{ 4 } { b }^{ 7 } { c }^{ 2 }$$

Factor

$$a^{2}b^{2}\left(35a^{2}c^{2}b^{5}+2b^{6}+14\right)$$

Solution Steps

Factor out ab^{2}.

$$ab^{2}\left(14a+2b^{6}a+35a^{3}b^{5}c^{2}\right)$$

Consider 14a+2b^{6}a+35a^{3}b^{5}c^{2}. Factor out a.

$$a\left(14+2b^{6}+35a^{2}b^{5}c^{2}\right)$$

Rewrite the complete factored expression.

$$ab^{2}a\left(14+2b^{6}+35a^{2}b^{5}c^{2}\right)$$

Evaluate

$$\left(ab\right)^{2}\left(2b^{6}+35b^{5}\left(ac\right)^{2}+14\right)$$