What is simplify-5sqrt(6)(3sqrt(2)+sqrt(10)) ?

The solution to simplify-5sqrt(6)(3sqrt(2)+sqrt(10)) is -30sqrt(3)-10sqrt(15)

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simplify-5sqrt(6)(3sqrt(2)+sqrt(10))

simplify

- 56 (32 + 10)

- 303 - 1015

Decimal Notation

- 90.69135 \dots

Solution steps

- 56 (32 + 10)

Apply the distributive law:

a (b + c) = ab + a c

a = - 56, b = 32, c = 10

= - 56 \cdot 32 + (- 56) 10

Apply minus-plus rules

+ (- a) = - a

= - 5 \cdot 362 - 5610

Simplify

- 5 \cdot 362 - 5610 : - 303 - 1015

= - 303 - 1015

\frac{2 5}{5}

- 56 (32 + 10)

3 x^{2} + 6 - 2 x + 5 x - 4 x^{2} + 9

cos (x) (sec (x) - cos (x))

What is simplify-5sqrt(6)(3sqrt(2)+sqrt(10)) ?
The solution to simplify-5sqrt(6)(3sqrt(2)+sqrt(10)) is -30sqrt(3)-10sqrt(15)