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Popular Calculus >

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

Solution

expand

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

Solution

6 x^{5} - 60 x^{3} + 150 x

Solution steps

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

Expand

(x^{2} - 5)^{2} : x^{4} - 10 x^{2} + 25

= 6 x (x^{4} - 10 x^{2} + 25)

Apply the distributive law:

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

6 x (x^{4} - 10 x^{2} + 25) = 6 x x^{4} + 6 x (- 10 x^{2}) + 6 x \cdot 25

= 6 x x^{4} + 6 x (- 10 x^{2}) + 6 x \cdot 25

Simplify

6 x x^{4} + 6 x (- 10 x^{2}) + 6 x \cdot 25 : 6 x^{5} - 60 x^{3} + 150 x

= 6 x^{5} - 60 x^{3} + 150 x

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Frequently Asked Questions (FAQ)

What is expand 6x(x^2-5)^2 ?
The solution to expand 6x(x^2-5)^2 is 6x^5-60x^3+150x