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

Enter the correct answer in the box.Simplify the following expression.(4x^2+ 8x + 15) + (x-example-1
User Semsem
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1 Answer

11 votes
11 votes

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

User XanderStrike
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