GCSE Maths Practice: algebraic-proof

Question 5 of 11

This question practices the binomial theorem for n=4.

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\( \text{Prove that } (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4. \)

Choose one option:

\( (a + b)^4 = a^4 + 4a^3b + 6a^2b^2 + 4ab^3 + b^4 \) \( (a + b)^4 = a^4 + 3a^3b + 6a^2b^2 + 3ab^3 + b^4 \) \( (a + b)^4 = a^4 + 5a^3b + 6a^2b^2 + 2ab^3 + b^4 \)

Write out the binomial coefficients and multiply terms carefully.

Each coefficient comes from the 4th row of Pascal's triangle.