Question

factories x^2+4+9z^2+4x-6xz-12z

Answer 1

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Q. Factorize: x2+4+9z2+4x-6xz-12z
Re-arranging the terms,x2+4+9z2+4x-12z-6xzx2+22+3z2+4x-12z-6xz
x2+22+3z2+2×2×x-2×2×3z-2×3z×x

Using: a+b-c2 = a2+b2+c2+2ab-2bc-2ca
Here, a = x, b=2 and 

c =3zSo, x2+22+3z2+2×2×x-2×2×3z-2×3z×x= x+2-3z2 Ans

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Answer 2

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