-6(2x+1)(6x+1)+3(4x- { 3 }^{ 2 }
Evaluate
-72x^{2}-36x-33
Expand
-72x^{2}-36x-33
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\left(-12x-6\right)\left(6x+1\right)+3\left(4x-3^{2}\right)
Use the distributive property to multiply -6 by 2x+1.
-72x^{2}-12x-36x-6+3\left(4x-3^{2}\right)
Apply the distributive property by multiplying each term of -12x-6 by each term of 6x+1.
-72x^{2}-48x-6+3\left(4x-3^{2}\right)
Combine -12x and -36x to get -48x.
-72x^{2}-48x-6+3\left(4x-9\right)
Calculate 3 to the power of 2 and get 9.
-72x^{2}-48x-6+12x-27
Use the distributive property to multiply 3 by 4x-9.
-72x^{2}-36x-6-27
Combine -48x and 12x to get -36x.
-72x^{2}-36x-33
Subtract 27 from -6 to get -33.
\left(-12x-6\right)\left(6x+1\right)+3\left(4x-3^{2}\right)
Use the distributive property to multiply -6 by 2x+1.
-72x^{2}-12x-36x-6+3\left(4x-3^{2}\right)
Apply the distributive property by multiplying each term of -12x-6 by each term of 6x+1.
-72x^{2}-48x-6+3\left(4x-3^{2}\right)
Combine -12x and -36x to get -48x.
-72x^{2}-48x-6+3\left(4x-9\right)
Calculate 3 to the power of 2 and get 9.
-72x^{2}-48x-6+12x-27
Use the distributive property to multiply 3 by 4x-9.
-72x^{2}-36x-6-27
Combine -48x and 12x to get -36x.
-72x^{2}-36x-33
Subtract 27 from -6 to get -33.
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{ x } ^ { 2 } - 4 x - 5 = 0
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y = 3x + 4
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Simultaneous equation
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Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
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