Question

Enter the correct answer in the box.Simplify the following expression.(4x^2+ 8x + 15) + (x^2 - x - 27) -(x + 5)(x-7)

Answer 1

To simplify the expression

$(4x^2+8x+15)+(x^2-x-27)-(x+5)\cdot(x-7)$

Let's follow the steps:

Step 1: Solve the multiplication.

$\begin{gathered} (4x^2+8x+15)+(x^2-x-27)-(x+5)\cdot(x-7) \\ (4x^2+8x+15)+(x^2-x-27)-(x\cdot x-x\cdot7+5\cdot x-5\cdot7) \\ (4x^2+8x+15)+(x^2-x-27)-(x^2-2x-35) \end{gathered}$

Step 2: Eliminate the parentheses (evaluating the signs).

$4x^2+8x+15+x^2-x-27-x^2+2x+35$

Step 3: Order the equation (first quadratic terms, then linear terms, ...).

$4x^2+x^2-x^2+8x-x+2x+15-27+35$

Step 4: Finally, sum the similar terms.

$4x^2+9x+23$

So, the answer is:

$4x^2+9x+23$