u^2x^2-9u^2-এর সমাধান করুন

$$u ^ { 2 } x ^ { 2 } - 9 u ^ { 2 }$$

Factor

$$\left(x-3\right)\left(x+3\right)u^{2}$$

Solution Steps

Factor out u^{2}.

$$u^{2}\left(x^{2}-9\right)$$

Consider x^{2}-9. Rewrite x^{2}-9 as x^{2}-3^{2}. The difference of squares can be factored using the rule: a^{2}-b^{2}=\left(a-b\right)\left(a+b\right).

$$\left(x-3\right)\left(x+3\right)$$

Rewrite the complete factored expression.

$$u^{2}\left(x-3\right)\left(x+3\right)$$

Evaluate

$$u^{2}\left(x^{2}-9\right)$$