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Popular >

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

Solution

expand

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

Solution

x^{3} + 11 x^{2} + 39 x + 45

Solution steps

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

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

Expand

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

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

Distribute parentheses

= x^{2} x + x^{2} \cdot 5 + 6 xx + 6 x \cdot 5 + 9 x + 9 \cdot 5

Simplify

x^{2} x + x^{2} \cdot 5 + 6 xx + 6 x \cdot 5 + 9 x + 9 \cdot 5 : x^{3} + 11 x^{2} + 39 x + 45

= x^{3} + 11 x^{2} + 39 x + 45

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Frequently Asked Questions (FAQ)

What is expand (x+5)(x+3)^2 ?
The solution to expand (x+5)(x+3)^2 is x^3+11x^2+39x+45