Factorise- 16x^2-24yz-gy^2-16z^2
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SOLUTION;__®️
16x^2 -24yz-9y^2-16z^2 = (4x)^2 -24yz-(3y)^2-(4z)^2
= -{(3y)^2+24yz+4z^2} + 4x^2
= -(3y+4z)^2 + 4x^2 [using a^2+2ab+b^2 = (a+b)^2]
= (4x)^2 -(3y+4z)^2
= (4x+3y+4z) (4x-3y-4z) [using a^2 - b^2 = (a+b)(a-b) where a=4x & b=3y+4z]
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16x^2 -24yz-9y^2-16z^2 = (4x)^2 -24yz-(3y)^2-(4z)^2
= -{(3y)^2+24yz+4z^2} + 4x^2
= -(3y+4z)^2 + 4x^2 [using a^2+2ab+b^2 = (a+b)^2]
= (4x)^2 -(3y+4z)^2
= (4x+3y+4z) (4x-3y-4z) [using a^2 - b^2 = (a+b)(a-b) where a=4x & b=3y+4z]
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