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How to do (a+x)³?
plz help me plz


1 Answer

4 votes

Answer:

a³ + 3a²x + 3ax² + x³

Explanation:

(a + x)³

= (a + x)(a + x)(a + x) ← expand the last 2 factors using FOIL

= (a + x)(a² + 2ax + x²)

Each term in the second factor is multiplied by each term in the first factor

= a(a² + 2ax + x²) + x(a² + 2ax + x²) ← distribute parenthesis

= a³ + 2a²x + ax² + a²x + 2ax² + x³ ← collect like terms

= a³ + 3a²x + 3ax² + x³

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