Type a math problem

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Type a math problem

Evaluate

60

$60$

Solution Steps

3 \cdot ( 1 + 3 ) ^ { 2 } + 2 ^ { 2 } + 2 ^ { 3 }

$3⋅(1+3)_{2}+2_{2}+2_{3}$

Add 1 and 3 to get 4.

Add $1$ and $3$ to get $4$.

3\times 4^{2}+2^{2}+2^{3}\approx 60

$3×4_{2}+2_{2}+2_{3}≈60$

Calculate 4 to the power of 2 and get 16.

Calculate $4$ to the power of $2$ and get $16$.

3\times 16+2^{2}+2^{3}\approx 60

$3×16+2_{2}+2_{3}≈60$

Multiply 3 and 16 to get 48.

Multiply $3$ and $16$ to get $48$.

48+2^{2}+2^{3}\approx 60

$48+2_{2}+2_{3}≈60$

Calculate 2 to the power of 2 and get 4.

Calculate $2$ to the power of $2$ and get $4$.

48+4+2^{3}\approx 60

$48+4+2_{3}≈60$

Add 48 and 4 to get 52.

Add $48$ and $4$ to get $52$.

52+2^{3}\approx 60

$52+2_{3}≈60$

Calculate 2 to the power of 3 and get 8.

Calculate $2$ to the power of $3$ and get $8$.

52+8=60

$52+8=60$

Add 52 and 8 to get 60.

Add $52$ and $8$ to get $60$.

60

$60$

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3\times 4^{2}+2^{2}+2^{3}\approx 60

Add 1 and 3 to get 4.

3\times 16+2^{2}+2^{3}\approx 60

Calculate 4 to the power of 2 and get 16.

48+2^{2}+2^{3}\approx 60

Multiply 3 and 16 to get 48.

48+4+2^{3}\approx 60

Calculate 2 to the power of 2 and get 4.

52+2^{3}\approx 60

Add 48 and 4 to get 52.

52+8=60

Calculate 2 to the power of 3 and get 8.

60

Add 52 and 8 to get 60.

Examples

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{ x } ^ { 2 } - 4 x - 5 = 0

$x_{2}−4x−5=0$

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4 \sin \theta \cos \theta = 2 \sin \theta

$4sinθcosθ=2sinθ$

Linear equation

y = 3x + 4

$y=3x+4$

Arithmetic

699 * 533

$699∗533$

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]

$[25 34 ][2−1 01 35 ]$

Simultaneous equation

\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.

${8x+2y=467x+3y=47 $

Differentiation

\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }

$dxd (x−5)(3x_{2}−2) $

Integration

\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x

$∫_{0}xe_{−x_{2}}dx$

Limits

\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}

$x→−3lim x_{2}+2x−3x_{2}−9 $

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