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Popular >

expand (7+3x)^3

Solution

expand

(7 + 3 x)^{3}

Solution

343 + 441 x + 189 x^{2} + 27 x^{3}

Solution steps

(7 + 3 x)^{3}

Apply Perfect Cube Formula:

(a + b)^{3} = a^{3} + 3 a^{2} b + 3 a b^{2} + b^{3}

(7 + 3 x)^{3} = 7^{3} + 3 \cdot 7^{2} \cdot 3 x + 3 \cdot 7 (3 x)^{2} + (3 x)^{3}

= 7^{3} + 3 \cdot 7^{2} \cdot 3 x + 3 \cdot 7 (3 x)^{2} + (3 x)^{3}

Simplify

7^{3} + 3 \cdot 7^{2} \cdot 3 x + 3 \cdot 7 (3 x)^{2} + (3 x)^{3} : 343 + 441 x + 189 x^{2} + 27 x^{3}

= 343 + 441 x + 189 x^{2} + 27 x^{3}

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Frequently Asked Questions (FAQ)

What is expand (7+3x)^3 ?
The solution to expand (7+3x)^3 is 343+441x+189x^2+27x^3