Trying to find the right answer to this..

(ab + bc) 2 - 2ab 2 c = (ab) 2 + 2(ab)(bc) + (bc) 2 - 2ab 2 c = a 2 b 2 + 2ab 2 c + b 2 c 2 - 2ab 2 c = a 2 b 2 + 0 + b 2 c 2 = a 2 b 2 + b 2 c2

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Algebraic Expressions and Identities

Short Answer Type

121.
Simplify:

(ab + bc)² - 2ab²c

(ab + bc)² - 2ab²c = (ab)²+ 2(ab)(bc) + (bc)²- 2ab²c
                          = a²b² + 2ab²c + b²c²- 2ab²c
                          = a²b² + 0 + b²c²
                          = a²b²+ b²c2

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122.

Simplify:

(m² - n²m)² + 2m³n²

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123.

Show that

(3x + 7)²-84x = (3x -7)²

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124.

Show that

(9p - 5 q)²+ 180pq = (9p + 5q)²

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125.

Show that

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