Solve {l}{(2x+5y)(5x+y)}{(7a^2-b)(3a-2b)}

$$\left. \begin{array} { l } { ( 2 x + 5 y ) ( 5 x + y ) } \\ { ( 7 a ^ { 2 } - b ) ( 3 a - 2 b ) } \end{array} \right.$$

Least Common Multiple

$$\left(3a-2b\right)\left(5x+y\right)\left(2x+5y\right)\left(7a^{2}-b\right)$$

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.

$$\left(3a-2b\right)\left(5x+y\right)\left(2x+5y\right)\left(7a^{2}-b\right)$$

Expand the expression.

$$-140ba^{2}x^{2}+210x^{2}a^{3}+20b^{2}x^{2}-30abx^{2}-378bxya^{2}+567xya^{3}+54xyb^{2}-81abxy-70ba^{2}y^{2}+105y^{2}a^{3}+10b^{2}y^{2}-15aby^{2}$$

Evaluate

$$\left(5x+y\right)\left(2x+5y\right),\ \left(3a-2b\right)\left(7a^{2}-b\right)$$