Solve (5b^4-5b^2)+(2b+2b^4-3b^2)

$$( 5 b ^ { 4 } - 5 b ^ { 2 } ) + ( 2 b + 2 b ^ { 4 } - 3 b ^ { 2 } )$$

Evaluate

$$b\left(7b^{3}-8b+2\right)$$

Solution Steps

Combine 5b^{4} and 2b^{4} to get 7b^{4}.

$$7b^{4}-5b^{2}+2b-3b^{2}$$

Combine -5b^{2} and -3b^{2} to get -8b^{2}.

$$7b^{4}-8b^{2}+2b$$

Factor

$$b\left(7b^{3}-8b+2\right)$$

Solution Steps

Factor out b. Polynomial 7b^{3}-8b+2 is not factored since it does not have any rational roots.

$$b\left(5b^{3}-5b+2+2b^{3}-3b\right)$$