Solve a^2-2b^2,-a^2+3b^2

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

Least Common Multiple

$$a^{4}+6b^{4}-5\left(ab\right)^{2}$$

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.

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

Expand the expression.

$$a^{4}-5a^{2}b^{2}+6b^{4}$$

Evaluate

$$a^{2}-2b^{2},3b^{2}-a^{2}$$