What is (3+sqrt(6)+3t)(3-sqrt(6)+3t) ?

The solution to (3+sqrt(6)+3t)(3-sqrt(6)+3t) is 9t^2+18t+3

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simplify (3+sqrt(6)+3t)(3-sqrt(6)+3t)

simplify

(3 + 6 + 3 t) (3 - 6 + 3 t)

9 t^{2} + 18 t + 3

Solution steps

(3 + 6 + 3 t) (3 - 6 + 3 t)

Distribute parentheses

= 3 \cdot 3 + 3 (- 6) + 3 \cdot 3 t + 6 \cdot 3 + 6 (- 6) + 6 \cdot 3 t + 3 t \cdot 3 + 3 t (- 6) + 3 t \cdot 3 t

Simplify

3 \cdot 3 + 3 (- 6) + 3 \cdot 3 t + 6 \cdot 3 + 6 (- 6) + 6 \cdot 3 t + 3 t \cdot 3 + 3 t (- 6) + 3 t \cdot 3 t : 9 t^{2} + 18 t + 3

= 9 t^{2} + 18 t + 3

, 5 x (5 x^{2} + 2)

(1 + x)^{\frac{1}{2}} (1 + x)^{\frac{1}{2}}

(3 x + 1)^{\circ} (3 x - 1) x

v (\frac{( 1 + v ^{2} ) ^{5}}{5} - v^{9})

\frac{x y \cdot ( 32 - x y )}{( x + y )}

What is (3+sqrt(6)+3t)(3-sqrt(6)+3t) ?
The solution to (3+sqrt(6)+3t)(3-sqrt(6)+3t) is 9t^2+18t+3