What is expand (-2+6sqrt(2))(sqrt(3)+1)^5 ?

The solution to expand (-2+6sqrt(2))(sqrt(3)+1)^5 is -88sqrt(3)-152+264sqrt(6)+456sqrt(2)

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expand (-2+6sqrt(2))(sqrt(3)+1)^5

expand

(- 2 + 62) (3 + 1)^{5}

- 883 - 152 + 2646 + 4562

Decimal Notation

987.12620 \dots

Solution steps

(- 2 + 62) (3 + 1)^{5}

= (3 + 1)^{5} (- 2 + 62)

Apply the distributive law:

a (b + c) = ab + a c

(3 + 1)^{5} (- 2 + 62) = (3 + 1)^{5} (- 2) + (3 + 1)^{5} \cdot 62

= (3 + 1)^{5} (- 2) + (3 + 1)^{5} \cdot 62

(3 + 1)^{5} (- 2) + (3 + 1)^{5} \cdot 62 = - 2 (3 + 1)^{5} + 62 (3 + 1)^{5}

= - 2 (3 + 1)^{5} + 62 (3 + 1)^{5}

Expand

- 2 (3 + 1)^{5} : - 883 - 152

= - 883 - 152 + 62 (3 + 1)^{5}

Expand

62 (3 + 1)^{5} : 2646 + 4562

= - 883 - 152 + 2646 + 4562

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What is expand (-2+6sqrt(2))(sqrt(3)+1)^5 ?
The solution to expand (-2+6sqrt(2))(sqrt(3)+1)^5 is -88sqrt(3)-152+264sqrt(6)+456sqrt(2)