Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

Kat uses a rule for finding the difference of two square numbers, $a^2 - b^2$. Her rule is to multiply the sum of $a$ and $b$ by the difference between $a$ and $b$. She demonstrates this for $17^2 - 13^2$: $17^2 - 13^2 = (17 + 13) \times (17 - 13) = 30 \times 4 = 120$.
(a)[2]

Use Kat’s method to work out $29^2 - 21^2$.

(b)[2]

Calculate the volume of the prism.

Worked solution & mark scheme

This 4-mark question has a full step-by-step worked solution and mark scheme. One marking point: \((29+21)\times(29-21)=50\times8\)

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