Question

question
multiply.
$x^2(7x^2 - 8x + 9)$

Explanation:

Step1: Apply distributive property

Using the distributive property \(a(b + c + d)=ab+ac + ad\), we have \(x^{2}(7x^{2}-8x + 9)=x^{2}\times7x^{2}-x^{2}\times8x+x^{2}\times9\)

Step2: Simplify each term

For the first term: \(x^{2}\times7x^{2}=7x^{2 + 2}=7x^{4}\) (using the rule \(a^{m}\times a^{n}=a^{m + n}\))
For the second term: \(-x^{2}\times8x=- 8x^{2+1}=-8x^{3}\)
For the third term: \(x^{2}\times9 = 9x^{2}\)

Step3: Combine the terms

Combining the simplified terms, we get \(7x^{4}-8x^{3}+9x^{2}\)

Answer:

\(7x^{4}-8x^{3}+9x^{2}\)