Solve 900*(x-30)^2

$$900 \cdot ( x - 30 ) ^ { 2 }$$

Evaluate

$$900\left(x-30\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-30\right)^{2}.

$$900\left(x^{2}-60x+900\right)$$

Use the distributive property to multiply 900 by x^{2}-60x+900.

$$900x^{2}-54000x+810000$$

Expand

$$900x^{2}-54000x+810000$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-30\right)^{2}.

$$900\left(x^{2}-60x+900\right)$$

Use the distributive property to multiply 900 by x^{2}-60x+900.

$$900x^{2}-54000x+810000$$