Evaluate
\left(4x-3\right)\left(8x-9\right)
Expand
32x^{2}-60x+27
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-16x^{2}+48x+18x-54-\left(8x-9\right)\left(-6x+9\right)
Apply the distributive property by multiplying each term of 8x-9 by each term of -2x+6.
-16x^{2}+66x-54-\left(8x-9\right)\left(-6x+9\right)
Combine 48x and 18x to get 66x.
-16x^{2}+66x-54-\left(-48x^{2}+72x+54x-81\right)
Apply the distributive property by multiplying each term of 8x-9 by each term of -6x+9.
-16x^{2}+66x-54-\left(-48x^{2}+126x-81\right)
Combine 72x and 54x to get 126x.
-16x^{2}+66x-54-\left(-48x^{2}\right)-126x-\left(-81\right)
To find the opposite of -48x^{2}+126x-81, find the opposite of each term.
-16x^{2}+66x-54+48x^{2}-126x-\left(-81\right)
The opposite of -48x^{2} is 48x^{2}.
-16x^{2}+66x-54+48x^{2}-126x+81
The opposite of -81 is 81.
32x^{2}+66x-54-126x+81
Combine -16x^{2} and 48x^{2} to get 32x^{2}.
32x^{2}-60x-54+81
Combine 66x and -126x to get -60x.
32x^{2}-60x+27
Add -54 and 81 to get 27.
-16x^{2}+48x+18x-54-\left(8x-9\right)\left(-6x+9\right)
Apply the distributive property by multiplying each term of 8x-9 by each term of -2x+6.
-16x^{2}+66x-54-\left(8x-9\right)\left(-6x+9\right)
Combine 48x and 18x to get 66x.
-16x^{2}+66x-54-\left(-48x^{2}+72x+54x-81\right)
Apply the distributive property by multiplying each term of 8x-9 by each term of -6x+9.
-16x^{2}+66x-54-\left(-48x^{2}+126x-81\right)
Combine 72x and 54x to get 126x.
-16x^{2}+66x-54-\left(-48x^{2}\right)-126x-\left(-81\right)
To find the opposite of -48x^{2}+126x-81, find the opposite of each term.
-16x^{2}+66x-54+48x^{2}-126x-\left(-81\right)
The opposite of -48x^{2} is 48x^{2}.
-16x^{2}+66x-54+48x^{2}-126x+81
The opposite of -81 is 81.
32x^{2}+66x-54-126x+81
Combine -16x^{2} and 48x^{2} to get 32x^{2}.
32x^{2}-60x-54+81
Combine 66x and -126x to get -60x.
32x^{2}-60x+27
Add -54 and 81 to get 27.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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Linear equation
y = 3x + 4
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Matrix
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Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
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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