What is (4+3sqrt(2))^2(4-3sqrt(2)) ?

The solution to (4+3sqrt(2))^2(4-3sqrt(2)) is -8-6sqrt(2)

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simplify (4+3sqrt(2))^2(4-3sqrt(2))

simplify

(4 + 32)^{2} (4 - 32)

- 8 - 62

Solution steps

(4 + 32)^{2} (4 - 32)

Expand

(4 + 32)^{2} : 34 + 242

= (34 + 242) (4 - 32)

Apply FOIL method

(34 + 242) (4 - 32) : - 8 - 62

= - 8 - 62

(m + 8) (2 m^{3} + m^{2} + 3 m)

3 - 3 x^{2} + 6 + 3 x + 1 + 4 x + 2 x

16 x^{4} - 24 x^{2} y + 9 y^{2}

\frac{15}{72}

What is (4+3sqrt(2))^2(4-3sqrt(2)) ?
The solution to (4+3sqrt(2))^2(4-3sqrt(2)) is -8-6sqrt(2)