Solve (y-z)^2+8(y-z)

$$( y - z ) ^ { 2 } + 8 ( y - z )$$

Evaluate

$$\left(y-z\right)\left(y-z+8\right)$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-z\right)^{2}.

$$y^{2}-2yz+z^{2}+8\left(y-z\right)$$

Use the distributive property to multiply 8 by y-z.

$$y^{2}-2yz+z^{2}+8y-8z$$

Expand

$$y^{2}-2yz+8y+z^{2}-8z$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(y-z\right)^{2}.

$$y^{2}-2yz+z^{2}+8\left(y-z\right)$$

Use the distributive property to multiply 8 by y-z.

$$y^{2}-2yz+z^{2}+8y-8z$$