Mathematics 0580 · IGCSE · Algebraic manipulation

Algebraic manipulation — practice question

(a)[2]

Expand then simplify $(2p^2 - 3)(3p^2 - 2)$.

(b(i))[2]

Calculate the value of $s$ when $u = 20$, $v = 30$ and $t = 7$.

(b(ii))[3]

Rearrange the formula so that $v$ is expressed in terms of $s$, $u$ and $t$.

(c(i))[2]

Factorise completely the expression $2qt - 3t - 6 + 4q$.

(c(ii))[3]

Factorise completely $x^3 - 25x$.

Worked solution & mark scheme

This 12-mark question has a full step-by-step worked solution and mark scheme. One marking point: $6p^{4} - 13p^{2} + 6$

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