Question

simplify (2-√2)(2+√2)​

Answer 1

Answer:

2 is the correct answer

Step-by-step explanation:

you can use the identity (a+b)(a-b) = a^2 - b^2

Answer 2

Question:

Simplify-

$\mathsf{(2-\sqrt{2})(2+\sqrt{2})}$

Formula to be used:

$\mathsf{(a-b)(a+b)={a}^{2}-{b}^{2}}$

Solution:

Putting a= 2 and b= √2 in the formula. We get,

$\rightarrow\mathsf{(a-b)(a+b)={a}^{2}-{b}^{2}}$

$\rightarrow\mathsf{(2-\sqrt{2})(2+\sqrt{2})=({2})^{2}-{\sqrt{2}}^{2}}$

$\rightarrow\mathsf{(2-\sqrt{2})(2+\sqrt{2})=4-2}$

$\rightarrow\mathsf{(2-\sqrt{2})(2+\sqrt{2})=2}$

Some Important Formulas:

$\mathsf{{(a+b)}^{2}={a}^{2}+{b}^{2}+2ab}$

$\mathsf{{(a-b)}^{2}={a}^{2}+{b}^{2}-2ab}$

$\mathsf{(a-b)(a+b)={a}^{2}-{b}^{2}}$

$\mathsf{{a}^{2}+{b}^{2}={(a+b)}^{2}-2ab}$

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