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Algebraic Identities

Factorise: 3a...

Question

Factorise:
$(3 a + 5 b^{2}) - 4 c^{2}$

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Solution

$(3 a + 5 b^{2}) - 4 c^{2} = (3 a + 5 b)^{2} - 2 c^{2} = (3 a + 5 b + 2 c) (3 a + 5 b - 2 c)$

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