2022 ACSI EOY P2 Q1

2022 ACSI EOY P2 Q1

IP 2
11 marks
  1. Expand and simplify \( 5(a - 2b)^2 - (a - b)(4b - 3a)\).

    [3]
  2. Given that \( (a - b)^2 = 87\) and \(ab = 13.5\), find the value of \(3a^2 + 3b^2\).

    [3]
  3. The lengths of the parallel sides of a trapezium area \(416\) cm\(^2\) are \( (x + 3)\) cm and \( (x + 9)\) cm.

    Given that its height is \( (3x - 4)\) cm, find the value of \(x\)

    [5]

Solution:

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Answer:(a) \(8a^2-27ab+24b^2\). (b) \(342\). (c) \(x=10\).

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