Solve {l}{(x+1)^{2}-(x+2)^{2}+(x-1)(x+1)(x^{2}-1)+(x^{2}-1)(-x^2+1)}{(a-3b)(-a-3b)+(a-3b)(a+3b)+(a-3b)(3b-a)+a^2+9b^2}{(x+2y)(2y+x)+(-x-2y)^2+(2x-y)(-2x+y)+2x(x-6y)}

$$\left. \begin{array} { l } { ( x + 1 ) ^ { 2 } - ( x + 2 ) ^ { 2 } + ( x - 1 ) ( x + 1 ) ( x ^ { 2 } - 1 ) + ( x ^ { 2 } - 1 ) ( - x ^ { 2 } + 1 ) } \\ { ( a - 3 b ) ( - a - 3 b ) + ( a - 3 b ) ( a + 3 b ) + ( a - 3 b ) ( 3 b - a ) + a ^ { 2 } + 9 b ^ { 2 } } \\ { ( x + 2 y ) ( 2 y + x ) + ( - x - 2 y ) ^ { 2 } + ( 2 x - y ) ( - 2 x + y ) + 2 x ( x - 6 y ) } \end{array} \right.$$

Least Common Multiple

$$42ab\left(2x+3\right)y^{2}$$

Solution Steps

Identify all the factors and their highest power in all expressions. Multiply the highest powers of these factors to get the least common multiple.

$$42ab\left(2x+3\right)y^{2}$$

Expand the expression.

$$84abxy^{2}+126aby^{2}$$

Evaluate

$$-2x-3,\ 6ab,\ 7y^{2}$$