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Popular >

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

Solution

expand

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

Solution

1 - 8 x + 18 x^{2} - 27 x^{4}

Solution steps

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

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

Expand

(1 - 3 x)^{3} : 1 - 9 x + 27 x^{2} - 27 x^{3}

= (1 - 9 x + 27 x^{2} - 27 x^{3}) (1 + x)

Distribute parentheses

= 1 \cdot 1 + 1 \cdot x - 9 x \cdot 1 - 9 xx + 27 x^{2} \cdot 1 + 27 x^{2} x - 27 x^{3} \cdot 1 - 27 x^{3} x

Simplify

1 \cdot 1 + 1 \cdot x - 9 x \cdot 1 - 9 xx + 27 x^{2} \cdot 1 + 27 x^{2} x - 27 x^{3} \cdot 1 - 27 x^{3} x : 1 - 8 x + 18 x^{2} - 27 x^{4}

= 1 - 8 x + 18 x^{2} - 27 x^{4}

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Frequently Asked Questions (FAQ)

What is expand (1+x)(1-3x)^3 ?
The solution to expand (1+x)(1-3x)^3 is 1-8x+18x^2-27x^4