1.

2. Factorise the following expressions :(a) x2 + 4y2 + z² + 4xy - 2xz - 4yz

Answer»

x^2 + 4y^2 + z^2 + 4xy - 2xz - 4yz

Using identity(a + b + c)^2 = a^2 + b^2 + c^2 + 2ab + 2bc + 2ca

= (x)^2 + (2y)^2 + (-z)^2 + 2*(x)*(2y) + 2*(x)*(-z) + 2*(2y)*(-z)

= (x + 2y - z)^2

= (x + 2y - z)(x + 2y - z)



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