What is expand y[(2x^2+x)(5x)] ?

The solution to expand y[(2x^2+x)(5x)] is 10yx^3+5yx^2

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expand y[(2x^2+x)(5x)]

expand

y [(2 x^{2} + x) (5 x)]

10 y x^{3} + 5 y x^{2}

Solution steps

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

Remove parentheses:

(a) = a

= y (2 x^{2} + x) \cdot 5 x

= 5 y x (2 x^{2} + x)

Apply the distributive law:

a (b + c) = ab + a c

a = y \cdot 5 x, b = 2 x^{2}, c = x

= y \cdot 5 x \cdot 2 x^{2} + y \cdot 5 xx

= 5 \cdot 2 y x^{2} x + 5 y xx

Simplify

5 \cdot 2 y x^{2} x + 5 y xx : 10 y x^{3} + 5 y x^{2}

= 10 y x^{3} + 5 y x^{2}

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What is expand y[(2x^2+x)(5x)] ?
The solution to expand y[(2x^2+x)(5x)] is 10yx^3+5yx^2