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Popular >

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

Solution

expand

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

Solution

3 x^{3} + 3 x^{2} - 48 x + 60

Solution steps

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

Expand

(x - 2)^{2} : x^{2} - 4 x + 4

= 3 (x^{2} - 4 x + 4) (x + 5)

Expand

3 (x + 5) : 3 x + 15

= (3 x + 15) (x^{2} - 4 x + 4)

Distribute parentheses

= 3 x x^{2} + 3 x (- 4 x) + 3 x \cdot 4 + 15 x^{2} + 15 (- 4 x) + 15 \cdot 4

Simplify

3 x x^{2} + 3 x (- 4 x) + 3 x \cdot 4 + 15 x^{2} + 15 (- 4 x) + 15 \cdot 4 : 3 x^{3} + 3 x^{2} - 48 x + 60

= 3 x^{3} + 3 x^{2} - 48 x + 60

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Frequently Asked Questions (FAQ)

What is expand 3(x-2)^2(x+5) ?
The solution to expand 3(x-2)^2(x+5) is 3x^3+3x^2-48x+60