Solve 4-(x+0,5)^2

$$4 - ( x + 0,5 ) ^ { 2 }$$

Evaluate

$$\left(1,5-x\right)\left(x+2,5\right)$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+0,5\right)^{2}.

$$4-\left(x^{2}+x+0,25\right)$$

To find the opposite of x^{2}+x+0,25, find the opposite of each term.

$$4-x^{2}-x-0,25$$

Subtract 0,25 from 4 to get 3,75.

$$3,75-x^{2}-x$$

Expand

$$3,75-x-x^{2}$$

Solution Steps

Use binomial theorem \left(a+b\right)^{2}=a^{2}+2ab+b^{2} to expand \left(x+0,5\right)^{2}.

$$4-\left(x^{2}+x+0,25\right)$$

To find the opposite of x^{2}+x+0,25, find the opposite of each term.

$$4-x^{2}-x-0,25$$

Subtract 0,25 from 4 to get 3,75.

$$3,75-x^{2}-x$$