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Popular >

expand 3x(x^2-5x+6)

Solution

expand

3 x (x^{2} - 5 x + 6)

Solution

3 x^{3} - 15 x^{2} + 18 x

Solution steps

3 x (x^{2} - 5 x + 6)

Apply the distributive law:

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

3 x (x^{2} - 5 x + 6) = 3 x x^{2} + 3 x (- 5 x) + 3 x \cdot 6

= 3 x x^{2} + 3 x (- 5 x) + 3 x \cdot 6

Simplify

3 x x^{2} + 3 x (- 5 x) + 3 x \cdot 6 : 3 x^{3} - 15 x^{2} + 18 x

= 3 x^{3} - 15 x^{2} + 18 x

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Frequently Asked Questions (FAQ)

What is expand 3x(x^2-5x+6) ?
The solution to expand 3x(x^2-5x+6) is 3x^3-15x^2+18x