Question

3x² + 8 - 2x(x - 5) + 7

Explanation:

Step1: Expand the term \(-2x(x - 5)\)

Using the distributive property \(a(b - c)=ab - ac\), we have \(-2x(x - 5)=-2x\times x+(-2x)\times(-5)=-2x^{2}+10x\)

Step2: Combine like terms for the \(x^{2}\) terms, constant terms

The original expression \(3x^{2}+8 - 2x(x - 5)+7\) becomes \(3x^{2}+8-2x^{2}+10x + 7\) after expansion.
Combining \(3x^{2}-2x^{2}\) gives \(x^{2}\), and combining \(8 + 7\) gives \(15\)

Step3: Write the simplified expression

After combining like terms, we get \(x^{2}+10x + 15\)

Answer:

\(x^{2}+10x + 15\)