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Popular >

expand (x+1)(x-3)^2

Solution

expand

(x + 1) (x - 3)^{2}

Solution

x^{3} - 5 x^{2} + 3 x + 9

Solution steps

(x + 1) (x - 3)^{2}

= (x - 3)^{2} (x + 1)

Expand

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

= (x^{2} - 6 x + 9) (x + 1)

Distribute parentheses

= x^{2} x + x^{2} \cdot 1 - 6 xx - 6 x \cdot 1 + 9 x + 9 \cdot 1

Simplify

x^{2} x + x^{2} \cdot 1 - 6 xx - 6 x \cdot 1 + 9 x + 9 \cdot 1 : x^{3} - 5 x^{2} + 3 x + 9

= x^{3} - 5 x^{2} + 3 x + 9

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\frac{27 - 19 i}{- 3 - 10 i}

Frequently Asked Questions (FAQ)

What is expand (x+1)(x-3)^2 ?
The solution to expand (x+1)(x-3)^2 is x^3-5x^2+3x+9