Evaluate
16x^{3}+70x^{2}+77x+10
Expand
16x^{3}+70x^{2}+77x+10
Graph
Share
Copied to clipboard
4\left(2x+3\right)\left(2x+5\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Multiply 2 and 2 to get 4.
\left(8x+12\right)\left(2x+5\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Use the distributive property to multiply 4 by 2x+3.
\left(16x^{2}+40x+24x+60\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Apply the distributive property by multiplying each term of 8x+12 by each term of 2x+5.
\left(16x^{2}+64x+60\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Combine 40x and 24x to get 64x.
16x^{3}+64x^{2}+60x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Use the distributive property to multiply 16x^{2}+64x+60 by x.
16x^{3}+64x^{2}+60x+6x\left(x+2\right)+5\left(x+2\right)
Multiply 3 and 2 to get 6.
16x^{3}+64x^{2}+60x+6x^{2}+12x+5\left(x+2\right)
Use the distributive property to multiply 6x by x+2.
16x^{3}+70x^{2}+60x+12x+5\left(x+2\right)
Combine 64x^{2} and 6x^{2} to get 70x^{2}.
16x^{3}+70x^{2}+72x+5\left(x+2\right)
Combine 60x and 12x to get 72x.
16x^{3}+70x^{2}+72x+5x+10
Use the distributive property to multiply 5 by x+2.
16x^{3}+70x^{2}+77x+10
Combine 72x and 5x to get 77x.
4\left(2x+3\right)\left(2x+5\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Multiply 2 and 2 to get 4.
\left(8x+12\right)\left(2x+5\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Use the distributive property to multiply 4 by 2x+3.
\left(16x^{2}+40x+24x+60\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Apply the distributive property by multiplying each term of 8x+12 by each term of 2x+5.
\left(16x^{2}+64x+60\right)x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Combine 40x and 24x to get 64x.
16x^{3}+64x^{2}+60x+3\times 2x\left(x+2\right)+5\left(x+2\right)
Use the distributive property to multiply 16x^{2}+64x+60 by x.
16x^{3}+64x^{2}+60x+6x\left(x+2\right)+5\left(x+2\right)
Multiply 3 and 2 to get 6.
16x^{3}+64x^{2}+60x+6x^{2}+12x+5\left(x+2\right)
Use the distributive property to multiply 6x by x+2.
16x^{3}+70x^{2}+60x+12x+5\left(x+2\right)
Combine 64x^{2} and 6x^{2} to get 70x^{2}.
16x^{3}+70x^{2}+72x+5\left(x+2\right)
Combine 60x and 12x to get 72x.
16x^{3}+70x^{2}+72x+5x+10
Use the distributive property to multiply 5 by x+2.
16x^{3}+70x^{2}+77x+10
Combine 72x and 5x to get 77x.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
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
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}