Solve 4y*15y^3+10y^2

$$4y \times 15 { y }^{ 3 } +10 { y }^{ 2 }$$

Evaluate

$$60y^{4}+10y^{2}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$4y^{4}\times 15+10y^{2}$$

Multiply 4 and 15 to get 60.

$$60y^{4}+10y^{2}$$

Factor

$$10y^{2}\left(6y^{2}+1\right)$$

Solution Steps

Factor out 10.

$$10\left(6yy^{3}+y^{2}\right)$$

Consider 6y^{4}+y^{2}. Factor out y^{2}.

$$y^{2}\left(6y^{2}+1\right)$$

Rewrite the complete factored expression. Polynomial 6y^{2}+1 is not factored since it does not have any rational roots.

$$10y^{2}\left(6y^{2}+1\right)$$