Question

1. - / 1 points perform the operation and write the result in standard form. \\((5x^2 - 7)(-x^2 + 1)\\) resources read it

Explanation:

Step1: Apply distributive property (FOIL)

Multiply each term in the first binomial by each term in the second binomial:
$$(5x^2)(-x^2) + (5x^2)(1) + (-7)(-x^2) + (-7)(1)$$

Step2: Simplify each term

Calculate the product of each pair of terms:
$$-5x^4 + 5x^2 + 7x^2 - 7$$

Step3: Combine like terms

Combine the \(x^2\) terms:
$$-5x^4 + (5x^2 + 7x^2) - 7 = -5x^4 + 12x^2 - 7$$

Answer:

\(-5x^4 + 12x^2 - 7\)