Solve -3(5y-x)^2

$$- 3 ( 5 y - x ) ^ { 2 }$$

Expand

$$-3x^{2}+30xy-75y^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5y-x\right)^{2}.

$$-3\left(25y^{2}-10yx+x^{2}\right)$$

Use the distributive property to multiply -3 by 25y^{2}-10yx+x^{2}.

$$-75y^{2}+30yx-3x^{2}$$

Evaluate

$$-3\left(5y-x\right)^{2}$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(5y-x\right)^{2}.

$$-3\left(25y^{2}-10yx+x^{2}\right)$$

Use the distributive property to multiply -3 by 25y^{2}-10yx+x^{2}.

$$-75y^{2}+30yx-3x^{2}$$