Question

Expand. Your answer should be a polynomial in standard form. (-r²+3r-7)(r²-7)

Answer 1

To expand the given expression, multiply each term of the first polynomial by the second polynomial using the distributive property. Combine like terms to obtain the expanded polynomial in standard form.

Step-by-step explanation:

To expand the given expression (-r²+3r-7)(r²-7), we can use the distributive property to multiply each term of the first polynomial by the second polynomial:

(-r²+3r-7)(r²-7) = -r²(r²-7) + 3r(r²-7) - 7(r²-7)

Expanding each term, we get:

-r⁴ + 7r² + 3r³ - 21r - 7r² + 49 - 7

Combining like terms, the final expanded polynomial in standard form is:

-r⁴ + 3r³ - 8r² - 21r + 42