Solve (sqrt{a}+sqrt{b})(sqrt{a}-sqrt{b})

$$( \sqrt { a } + \sqrt { b } ) ( \sqrt { a } - \sqrt { b } )$$

Evaluate

$$a-b$$

Solution Steps

Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}.

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

Calculate \sqrt{a} to the power of 2 and get a.

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

Calculate \sqrt{b} to the power of 2 and get b.

$$a-b$$

Differentiate w.r.t. a

$$1$$