Solve {l}{text{(c)}-ax^{2},4bx^{4},-cx^{2}}{text{(d)}32x,16a^{3}b^{2}x^4,80p^2x^2q^4}

$$\left. \begin{array} { l } { \text { (c) } - a x ^ { 2 } , 4 b x ^ { 4 } , - c x ^ { 2 } } \\ { \text { (d) } 32 x , 16 a ^ { 3 } b ^ { 2 } x ^ { 4 } , 80 p ^ { 2 } x ^ { 2 } q ^ { 4 } } \end{array} \right.$$

Least Common Multiple

$$160cda^{3}\left(ax^{2}-c\right)\left(bp\right)^{2}\left(qx\right)^{4}$$

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.

$$160cdb^{2}p^{2}a^{3}q^{4}x^{4}\left(ax^{2}-c\right)$$

Expand the expression.

$$160cdb^{2}p^{2}a^{4}q^{4}x^{6}-160db^{2}c^{2}p^{2}a^{3}q^{4}x^{4}$$

Evaluate

$$c-ax^{2},\ 4bx^{4},\ -cx^{2},\ 32dx,\ 16b^{2}a^{3}x^{4},\ 80q^{4}\left(px\right)^{2}$$