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Popular >

expand 3x(x+2)(x+5)

Solution

expand

3 x (x + 2) (x + 5)

Solution

3 x^{3} + 21 x^{2} + 30 x

Solution steps

3 x (x + 2) (x + 5)

Expand

3 x (x + 2) (x + 5) : 3 x (x^{2} + 7 x + 10)

= 3 x (x^{2} + 7 x + 10)

Apply the distributive law:

m (a + b + c) = ma + mb + m c

3 x (x^{2} + 7 x + 10) = 3 x x^{2} + 3 x \cdot 7 x + 3 x \cdot 10

= 3 x x^{2} + 3 x \cdot 7 x + 3 x \cdot 10

Simplify

3 x x^{2} + 3 x \cdot 7 x + 3 x \cdot 10 : 3 x^{3} + 21 x^{2} + 30 x

= 3 x^{3} + 21 x^{2} + 30 x

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Frequently Asked Questions (FAQ)

What is expand 3x(x+2)(x+5) ?
The solution to expand 3x(x+2)(x+5) is 3x^3+21x^2+30x