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Popular >

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

Solution

expand

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

Solution

2 x^{3} + 7 x^{2} - 12 x - 45

Solution steps

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

Expand

(x + 3)^{2} : x^{2} + 6 x + 9

= (x^{2} + 6 x + 9) (2 x - 5)

Distribute parentheses

= x^{2} \cdot 2 x + x^{2} (- 5) + 6 x \cdot 2 x + 6 x (- 5) + 9 \cdot 2 x + 9 (- 5)

Simplify

x^{2} \cdot 2 x + x^{2} (- 5) + 6 x \cdot 2 x + 6 x (- 5) + 9 \cdot 2 x + 9 (- 5) : 2 x^{3} + 7 x^{2} - 12 x - 45

= 2 x^{3} + 7 x^{2} - 12 x - 45

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Frequently Asked Questions (FAQ)

What is expand (x+3)^2(2x-5) ?
The solution to expand (x+3)^2(2x-5) is 2x^3+7x^2-12x-45