What is expand (-r^2+3r-7)(r^2-7) ?

The solution to expand (-r^2+3r-7)(r^2-7) is -r^4+3r^3-21r+49

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expand (-r^2+3r-7)(r^2-7)

expand

(- r^{2} + 3 r - 7) (r^{2} - 7)

- r^{4} + 3 r^{3} - 21 r + 49

Solution steps

(- r^{2} + 3 r - 7) (r^{2} - 7)

Distribute parentheses

= - r^{2} r^{2} - r^{2} (- 7) + 3 r r^{2} + 3 r (- 7) - 7 r^{2} - 7 (- 7)

Simplify

- r^{2} r^{2} - r^{2} (- 7) + 3 r r^{2} + 3 r (- 7) - 7 r^{2} - 7 (- 7) : - r^{4} + 3 r^{3} - 21 r + 49

= - r^{4} + 3 r^{3} - 21 r + 49

20 \div 2

(x + y) (x^{2} - x y + y^{2})

(- 3 + i)^{- 2}

- 1 1^{2}

What is expand (-r^2+3r-7)(r^2-7) ?
The solution to expand (-r^2+3r-7)(r^2-7) is -r^4+3r^3-21r+49