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We have 54x 2 – 96y 2 = 6[9x 2 - 16y 2 ] = 6[(3x) 2 - (4y) 2 ] = 6 [(3x + 4y)(3x - 4y)] [Using a 2 - b 2 = (a + b)(a - b)] Thus, 54x 2 - 96y 2 = 6 (3x + 4y)(3x - 4y)

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Factorisation

Short Answer Type

141.

Factorise:
p² - 8p + 16

124 Views

142.

Factorise:

121x² + 44xy + 4y²

135 Views

143.
Factorise: 54x² – 96y²

We have 54x² – 96y² = 6[9x² - 16y²]

                             = 6[(3x)² - (4y)²]

                             = 6 [(3x + 4y)(3x - 4y)] [Using a² - b² = (a + b)(a - b)]

Thus,    54x² - 96y² = 6 (3x + 4y)(3x - 4y)

134 Views

144.

Factorise: 81a⁴ – 16b⁴

143 Views

145.

Divide:

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