Solve xy+xy+xy+xy+y^2

$$x y + x y + x y + x y + y ^ { 2 }$$

Evaluate

$$y\left(4x+y\right)$$

Solution Steps

Combine xy and xy to get 2xy.

$$2xy+xy+xy+y^{2}$$

Combine 2xy and xy to get 3xy.

$$3xy+xy+y^{2}$$

Combine 3xy and xy to get 4xy.

$$4xy+y^{2}$$

Factor

$$y\left(4x+y\right)$$

Solution Steps

Factor out y.

$$y\left(x+x+x+x+y\right)$$

Consider x+x+x+x+y. Multiply and combine like terms.

$$4x+y$$

Rewrite the complete factored expression.

$$y\left(4x+y\right)$$