What is (x+3-sqrt(2))(x+3+sqrt(2)) ?

The solution to (x+3-sqrt(2))(x+3+sqrt(2)) is x^2+6x+7

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simplify (x+3-sqrt(2))(x+3+sqrt(2))

simplify

(x + 3 - 2) (x + 3 + 2)

x^{2} + 6 x + 7

Solution steps

(x + 3 - 2) (x + 3 + 2)

Distribute parentheses

= xx + x \cdot 3 + x 2 + 3 x + 3 \cdot 3 + 32 - 2 x - 2 \cdot 3 - 22

Simplify

xx + x \cdot 3 + x 2 + 3 x + 3 \cdot 3 + 32 - 2 x - 2 \cdot 3 - 22 : x^{2} + 6 x + 7

= x^{2} + 6 x + 7

\frac{2 k + 3}{( k + 1 ) ^{2}}

(2 + \frac{x}{2})^{8}

(x - 6)^{2}

(3 x^{2} - 4) (x^{3} - 4 x)^{\frac{1}{2}}

(a - 2 x) \cdot (3 a + x)

What is (x+3-sqrt(2))(x+3+sqrt(2)) ?
The solution to (x+3-sqrt(2))(x+3+sqrt(2)) is x^2+6x+7