Question 83 (xvii)

Multiply the following:
(pq - 2r), (pq - 2r)

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Solution

We have, (pq - 2r) and (pq - 2r)
$∴ (p q - 2 r) (p q - 2 r) = p q (p q - 2 r) - 2 r (p q - 2 r)$
$= p^{2} q^{2} - 2 p q r - 2 r p q + 4 r^{2} = p^{2} q^{2} - 4 p q r + 4 r^{2}$

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Question 84 (xii)

Simplify

$(p q - q r)^{2} + 4 p q^{2} r$

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2 x^{2} - 7 x - 15

84 - 2 r - 2 r^{2}

Trapizium PQRS PQ\\RS PQ=2RS. PQandRS intersects at O areaof triangle POQ=64 cm. Find area of triangle SOR

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