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12x^{2}-12x+13
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12x^{2}-12x+13
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16x^{2}-2x+1-4x+5-\left(4x^{2}+6x-7\right)
Combine 7x^{2} and 9x^{2} to get 16x^{2}.
16x^{2}-6x+1+5-\left(4x^{2}+6x-7\right)
Combine -2x and -4x to get -6x.
16x^{2}-6x+6-\left(4x^{2}+6x-7\right)
Add 1 and 5 to get 6.
16x^{2}-6x+6-4x^{2}-6x+7
To find the opposite of 4x^{2}+6x-7, find the opposite of each term.
12x^{2}-6x+6-6x+7
Combine 16x^{2} and -4x^{2} to get 12x^{2}.
12x^{2}-12x+6+7
Combine -6x and -6x to get -12x.
12x^{2}-12x+13
Add 6 and 7 to get 13.
16x^{2}-2x+1-4x+5-\left(4x^{2}+6x-7\right)
Combine 7x^{2} and 9x^{2} to get 16x^{2}.
16x^{2}-6x+1+5-\left(4x^{2}+6x-7\right)
Combine -2x and -4x to get -6x.
16x^{2}-6x+6-\left(4x^{2}+6x-7\right)
Add 1 and 5 to get 6.
16x^{2}-6x+6-4x^{2}-6x+7
To find the opposite of 4x^{2}+6x-7, find the opposite of each term.
12x^{2}-6x+6-6x+7
Combine 16x^{2} and -4x^{2} to get 12x^{2}.
12x^{2}-12x+6+7
Combine -6x and -6x to get -12x.
12x^{2}-12x+13
Add 6 and 7 to get 13.
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Simultaneous equation
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Differentiation
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Limits
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