Evaluate
\left(3x-7\right)\left(7x+10\right)
Expand
21x^{2}-19x-70
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30x^{2}-61x-21-\left(3x-7\right)^{2}
Use the distributive property to multiply 10x+3 by 3x-7 and combine like terms.
30x^{2}-61x-21-\left(9x^{2}-42x+49\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-7\right)^{2}.
30x^{2}-61x-21-9x^{2}+42x-49
To find the opposite of 9x^{2}-42x+49, find the opposite of each term.
21x^{2}-61x-21+42x-49
Combine 30x^{2} and -9x^{2} to get 21x^{2}.
21x^{2}-19x-21-49
Combine -61x and 42x to get -19x.
21x^{2}-19x-70
Subtract 49 from -21 to get -70.
30x^{2}-61x-21-\left(3x-7\right)^{2}
Use the distributive property to multiply 10x+3 by 3x-7 and combine like terms.
30x^{2}-61x-21-\left(9x^{2}-42x+49\right)
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(3x-7\right)^{2}.
30x^{2}-61x-21-9x^{2}+42x-49
To find the opposite of 9x^{2}-42x+49, find the opposite of each term.
21x^{2}-61x-21+42x-49
Combine 30x^{2} and -9x^{2} to get 21x^{2}.
21x^{2}-19x-21-49
Combine -61x and 42x to get -19x.
21x^{2}-19x-70
Subtract 49 from -21 to get -70.
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Limits
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