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+1 vote
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in Factorisation of Algebraic expressions by (48.7k points)
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Simplify:

i. (m2 - n2/(m + n)2) x (m2 + mn + n2/(m3 - n3))

ii. (a2 + 10a + 21/(a2 + 6a - 7)) x (a2 - 1/(a + 3))

iii. (8x3 - 27y3/(4x2 - 9y2))

iv. (x2 - 5x - 24/(x + 3)(x + 8)) x (x2 - 64/(x - 8)2)

v. (3x2 - x - 2/(x2 - 7x + 12)) / (3x2 - 7x - 6/(x2 - 4))

vi. (4x2 - 11x + 6/(16x2 - 9)

vii. (a3 - 27/(5a2 - 16a + 3) / (a2 + 3a + 9/(25a2 - 1))

viii. (1 - 2x + x2/(1 - x3)) x (1 + x + x2/(1 + x))

1 Answer

+2 votes
by (49.4k points)
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Best answer

i. (m2 - n2/(m + n)2) x (m2 + mn + n2/(m3 - n3))

ii. (a2 + 10a + 21/(a2 + 6a - 7)) x (a2 - 1/(a + 3))

iii. (8x3 - 27y3/(4x2 - 9y2))

iv. (x2 - 5x - 24/(x + 3)(x + 8)) x (x2 - 64/(x - 8)2)

v. (3x2 - x - 2/(x2 - 7x + 12)) / (3x2 - 7x - 6/(x2 - 4))

vi. (4x2 - 11x + 6/(16x2 - 9)

vii. (a3 - 27/(5a2 - 16a + 3) / (a2 + 3a + 9/(25a2 - 1))

viii. (1 - 2x + x2/(1 - x3)) x (1 + x + x2/(1 + x))

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