Solve 3*left(x-2.5right)^2-4.5

$$3 \times { \left(x-2.5 \right) }^{ 2 } -4.5$$

Evaluate

$$3\left(x-2.5\right)^{2}-4.5$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2.5\right)^{2}.

$$3\left(x^{2}-5x+6.25\right)-4.5$$

Use the distributive property to multiply 3 by x^{2}-5x+6.25.

$$3x^{2}-15x+18.75-4.5$$

Subtract 4.5 from 18.75 to get 14.25.

$$3x^{2}-15x+14.25$$

Expand

$$3x^{2}-15x+14.25$$

Solution Steps

Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-2.5\right)^{2}.

$$3\left(x^{2}-5x+6.25\right)-4.5$$

Use the distributive property to multiply 3 by x^{2}-5x+6.25.

$$3x^{2}-15x+18.75-4.5$$

Subtract 4.5 from 18.75 to get 14.25.

$$3x^{2}-15x+14.25$$