Solve y^3*y-y*y*y

$$y ^ { 3 } \cdot y - y \cdot y \cdot y$$

Evaluate

$$\left(y-1\right)y^{3}$$

Solution Steps

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

$$y^{4}-yyy$$

Multiply y and y to get y^{2}.

$$y^{4}-y^{2}y$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$y^{4}-y^{3}$$

Factor

$$\left(y-1\right)y^{3}$$

Solution Steps

Factor out y.

$$y\left(y^{2}y-yy\right)$$

Consider y^{3}-y^{2}. Factor out y^{2}.

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

Rewrite the complete factored expression.

$$yy^{2}\left(y-1\right)$$