Evaluate
\left(5-9x\right)\left(3x+2\right)
Expand
10-3x-27x^{2}
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15-27x-\left(5-9x\right)\left(1-3x\right)
Use the distributive property to multiply 3 by 5-9x.
15-27x-\left(5-15x-9x+27x^{2}\right)
Apply the distributive property by multiplying each term of 5-9x by each term of 1-3x.
15-27x-\left(5-24x+27x^{2}\right)
Combine -15x and -9x to get -24x.
15-27x-5-\left(-24x\right)-27x^{2}
To find the opposite of 5-24x+27x^{2}, find the opposite of each term.
15-27x-5+24x-27x^{2}
The opposite of -24x is 24x.
10-27x+24x-27x^{2}
Subtract 5 from 15 to get 10.
10-3x-27x^{2}
Combine -27x and 24x to get -3x.
15-27x-\left(5-9x\right)\left(1-3x\right)
Use the distributive property to multiply 3 by 5-9x.
15-27x-\left(5-15x-9x+27x^{2}\right)
Apply the distributive property by multiplying each term of 5-9x by each term of 1-3x.
15-27x-\left(5-24x+27x^{2}\right)
Combine -15x and -9x to get -24x.
15-27x-5-\left(-24x\right)-27x^{2}
To find the opposite of 5-24x+27x^{2}, find the opposite of each term.
15-27x-5+24x-27x^{2}
The opposite of -24x is 24x.
10-27x+24x-27x^{2}
Subtract 5 from 15 to get 10.
10-3x-27x^{2}
Combine -27x and 24x to get -3x.
Examples
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{ x } ^ { 2 } - 4 x - 5 = 0
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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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