Evaluate
3x^{2}\left(10+36x-21x^{2}\right)
Expand
30x^{2}+108x^{3}-63x^{4}
Graph
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\left(2-\left(21x^{3}-36x^{2}-5x+2\right)+5x\right)\times 3x
Use the distributive property to multiply 3x^{2}-6x+1 by 7x+2 and combine like terms.
\left(2-21x^{3}+36x^{2}+5x-2+5x\right)\times 3x
To find the opposite of 21x^{3}-36x^{2}-5x+2, find the opposite of each term.
\left(-21x^{3}+36x^{2}+5x+5x\right)\times 3x
Subtract 2 from 2 to get 0.
\left(-21x^{3}+36x^{2}+10x\right)\times 3x
Combine 5x and 5x to get 10x.
\left(-63x^{3}+108x^{2}+30x\right)x
Use the distributive property to multiply -21x^{3}+36x^{2}+10x by 3.
-63x^{4}+108x^{3}+30x^{2}
Use the distributive property to multiply -63x^{3}+108x^{2}+30x by x.
\left(2-\left(21x^{3}-36x^{2}-5x+2\right)+5x\right)\times 3x
Use the distributive property to multiply 3x^{2}-6x+1 by 7x+2 and combine like terms.
\left(2-21x^{3}+36x^{2}+5x-2+5x\right)\times 3x
To find the opposite of 21x^{3}-36x^{2}-5x+2, find the opposite of each term.
\left(-21x^{3}+36x^{2}+5x+5x\right)\times 3x
Subtract 2 from 2 to get 0.
\left(-21x^{3}+36x^{2}+10x\right)\times 3x
Combine 5x and 5x to get 10x.
\left(-63x^{3}+108x^{2}+30x\right)x
Use the distributive property to multiply -21x^{3}+36x^{2}+10x by 3.
-63x^{4}+108x^{3}+30x^{2}
Use the distributive property to multiply -63x^{3}+108x^{2}+30x by x.
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