Solve 3xy+7y^2+9xy^2,7xy^2-6y^2+4xy

$$3 x y + 7 y ^ { 2 } + 9 x y ^ { 2 } , 7 x y ^ { 2 } - 6 y ^ { 2 } + 4 x y$$

Least Common Multiple

$$y\left(12x^{2}-5xy^{2}+10xy-42y^{2}+57yx^{2}+63\left(xy\right)^{2}\right)$$

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.

$$y\left(63x^{2}y^{2}+12x^{2}-5xy^{2}+10xy-42y^{2}+57yx^{2}\right)$$

Expand the expression.

$$63x^{2}y^{3}+57x^{2}y^{2}-5xy^{3}+10xy^{2}-42y^{3}+12yx^{2}$$

Evaluate

$$y\left(9xy+3x+7y\right),y\left(7xy+4x-6y\right)$$