Solve a^{2}+b^2+2ab,(a+b)^3,a^2(a+b)-b^2(a+b)

$$a ^ { 2 } + b ^ { 2 } + 2 a b , ( a + b ) ^ { 3 } , a ^ { 2 } ( a + b ) - b ^ { 2 } ( a + b )$$

Least Common Multiple

$$-\left(a-b\right)\left(a+b\right)^{3}$$

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.

$$-\left(a-b\right)\left(a+b\right)^{3}$$

Expand the expression.

$$-a^{4}+2ab^{3}+b^{4}-2ba^{3}$$

Evaluate

$$\left(a+b\right)^{2},\left(a+b\right)^{3},\left(a-b\right)\left(a+b\right)^{2}$$