Solve (sqrt(a) + sqrt(b))(sqrt(a) - sqrt(b)) | Equatix - Math Solver

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Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

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

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

$1$