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Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
MCQ
Simplify $7pq(q + r) - 8s(p + 2q) + 2r(pq + rs) + 4ps:$
  • A
    $7pq^2 + 9pqr + 4ps + 16qs + 2r^2s$
  • B
    $7pq^2 + 5pqr - 4ps + 16qs + 2r^2s$
  • ✓
    $7pq^2 + 9pqr - 4ps - 16qs + 2r^2s$
  • D
    $7pq^2 - 5pqr + 4ps - 16qs + 2r^2s$
✓

Answer

Correct option: C.
$7pq^2 + 9pqr - 4ps - 16qs + 2r^2s$
C.  $7pq^2 + 9pqr - 4ps - 16qs + 2r^2s$
Solution:
$7pq(q + r) - 8s(p + 2q) + 2r(pq + rs) + 4ps = 7pq (q) + 7pq(r) - 8s(p)-$
$8s(2q) + 2r(pq) + 2r(rs) + 4ps$
$7pq^2 + 7pq(r) - 8ps - 16qs + 2pqr + 2r^2s + 4ps 7pq^2 + 9pqr - 8ps - 4ps - 16qs + 2r^2$

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