\left. \begin{array} { l } { 49 x ^ { 4 } - 25 x ^ { 2 } - 9 y ^ { 2 } + 30 x y } \\ { ( 7 x ^ { 2 } ) ^ { 2 } - ( 5 x - 34 ) ^ { 2 } } \end{array} \right.
Least Common Multiple
-2401x^{8}+441y^{2}x^{4}-225\left(xy\right)^{2}-1470yx^{5}+2450x^{6}-16660x^{5}+750yx^{3}+56019x^{4}+3060xy^{2}-10200yx^{2}+8500x^{3}-1156\left(5x-3y\right)^{2}
Evaluate
49x^{4}-\left(5x-3y\right)^{2},\ 49x^{4}-\left(5x-34\right)^{2}
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49x^{4}-\left(5x-3y\right)^{2}=\left(7x^{2}-5x+3y\right)\left(7x^{2}+5x-3y\right) 49x^{4}-\left(5x-34\right)^{2}=7\left(x-\left(-\frac{1}{14}\sqrt{977}-\frac{5}{14}\right)\right)\left(x-\left(\frac{1}{14}\sqrt{977}-\frac{5}{14}\right)\right)\left(7x^{2}-5x+34\right)
Factor the expressions that are not already factored.
-2401x^{8}+441y^{2}x^{4}-1470yx^{5}+2450x^{6}-16660x^{5}-225x^{2}y^{2}+750yx^{3}+56019x^{4}+3060xy^{2}-10200yx^{2}+8500x^{3}-1156\left(5x-3y\right)^{2}
Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.
-2401x^{8}+2450x^{6}-16660x^{5}+56019x^{4}+8500x^{3}-225x^{2}y^{2}-28900x^{2}+3060xy^{2}+34680xy+441y^{2}x^{4}-10404y^{2}-1470yx^{5}+750yx^{3}-10200yx^{2}
Expand the expression.
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}