Evaluate
\left(1-x\right)\left(5x+1\right)
Expand
1+4x-5x^{2}
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3x\left(-x\right)+3x-2\left(-x\right)-2-\left(2x+3\right)\left(x-1\right)
Apply the distributive property by multiplying each term of 3x-2 by each term of -x+1.
3x\left(-x\right)+3x+2x-2-\left(2x+3\right)\left(x-1\right)
Multiply -2 and -1 to get 2.
3x\left(-x\right)+5x-2-\left(2x+3\right)\left(x-1\right)
Combine 3x and 2x to get 5x.
3x\left(-x\right)+5x-2-\left(2x^{2}-2x+3x-3\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of x-1.
3x\left(-x\right)+5x-2-\left(2x^{2}+x-3\right)
Combine -2x and 3x to get x.
3x\left(-x\right)+5x-2-2x^{2}-x-\left(-3\right)
To find the opposite of 2x^{2}+x-3, find the opposite of each term.
3x\left(-x\right)+5x-2-2x^{2}-x+3
The opposite of -3 is 3.
3x\left(-x\right)+4x-2-2x^{2}+3
Combine 5x and -x to get 4x.
3x\left(-x\right)+4x+1-2x^{2}
Add -2 and 3 to get 1.
-3xx+4x+1-2x^{2}
Multiply 3 and -1 to get -3.
-3x^{2}+4x+1-2x^{2}
Multiply x and x to get x^{2}.
-5x^{2}+4x+1
Combine -3x^{2} and -2x^{2} to get -5x^{2}.
3x\left(-x\right)+3x-2\left(-x\right)-2-\left(2x+3\right)\left(x-1\right)
Apply the distributive property by multiplying each term of 3x-2 by each term of -x+1.
3x\left(-x\right)+3x+2x-2-\left(2x+3\right)\left(x-1\right)
Multiply -2 and -1 to get 2.
3x\left(-x\right)+5x-2-\left(2x+3\right)\left(x-1\right)
Combine 3x and 2x to get 5x.
3x\left(-x\right)+5x-2-\left(2x^{2}-2x+3x-3\right)
Apply the distributive property by multiplying each term of 2x+3 by each term of x-1.
3x\left(-x\right)+5x-2-\left(2x^{2}+x-3\right)
Combine -2x and 3x to get x.
3x\left(-x\right)+5x-2-2x^{2}-x-\left(-3\right)
To find the opposite of 2x^{2}+x-3, find the opposite of each term.
3x\left(-x\right)+5x-2-2x^{2}-x+3
The opposite of -3 is 3.
3x\left(-x\right)+4x-2-2x^{2}+3
Combine 5x and -x to get 4x.
3x\left(-x\right)+4x+1-2x^{2}
Add -2 and 3 to get 1.
-3xx+4x+1-2x^{2}
Multiply 3 and -1 to get -3.
-3x^{2}+4x+1-2x^{2}
Multiply x and x to get x^{2}.
-5x^{2}+4x+1
Combine -3x^{2} and -2x^{2} to get -5x^{2}.
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Limits
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