Evaluate
r\left(-7r^{3}+16r^{2}-22\right)
Expand
-7r^{4}+16r^{3}-22r
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-2r^{4}+12r^{3}-12r+4r^{3}-\left(5r^{4}+10r\right)
Use the distributive property to multiply -2r by r^{3}-6r^{2}+6.
-2r^{4}+16r^{3}-12r-\left(5r^{4}+10r\right)
Combine 12r^{3} and 4r^{3} to get 16r^{3}.
-2r^{4}+16r^{3}-12r-5r^{4}-10r
To find the opposite of 5r^{4}+10r, find the opposite of each term.
-7r^{4}+16r^{3}-12r-10r
Combine -2r^{4} and -5r^{4} to get -7r^{4}.
-7r^{4}+16r^{3}-22r
Combine -12r and -10r to get -22r.
-2r^{4}+12r^{3}-12r+4r^{3}-\left(5r^{4}+10r\right)
Use the distributive property to multiply -2r by r^{3}-6r^{2}+6.
-2r^{4}+16r^{3}-12r-\left(5r^{4}+10r\right)
Combine 12r^{3} and 4r^{3} to get 16r^{3}.
-2r^{4}+16r^{3}-12r-5r^{4}-10r
To find the opposite of 5r^{4}+10r, find the opposite of each term.
-7r^{4}+16r^{3}-12r-10r
Combine -2r^{4} and -5r^{4} to get -7r^{4}.
-7r^{4}+16r^{3}-22r
Combine -12r and -10r to get -22r.
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