Trying to find the right answer to this..

LHS = (9p - 5 q) 2 + 180pq = (9p) 2 - 2(9p)(5q) +(5q) 2 + 180 pq = 81p 2 - 90pq + 25q 2 + 180pq = 81p 2 + (- 90pq +180)pq + 25q 2 = 81p 2 + 90pq + 25q2 RHS = (9p + 5q) 2 = (9p) 2 + 2(9p)(5q) +(5q) 2 = 81p 2 + 90pq + 25q 2 Since, LHS = RHS ∴ (9p - 5 q) 2 + 180pq = (9p + 5q) 2

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Algebraic Expressions and Identities

Short Answer Type

121.

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(ab + bc)² - 2ab²c

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(m² - n²m)² + 2m³n²

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(3x + 7)²-84x = (3x -7)²

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124.
Show that

(9p - 5 q)²+ 180pq = (9p + 5q)²

LHS    = (9p - 5 q)²+ 180pq
         = (9p)²- 2(9p)(5q) +(5q)²+ 180 pq
         = 81p²- 90pq + 25q²+ 180pq
         = 81p² + (- 90pq +180)pq + 25q²
         = 81p² + 90pq + 25q2

RHS    = (9p + 5q)²
          = (9p)²+ 2(9p)(5q) +(5q)²
          = 81p² + 90pq + 25q²

Since, LHS = RHS

∴ (9p - 5 q)²+ 180pq = (9p + 5q)²

422 Views

125.

Show that

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