foctorize the following.(1)16x^2+24yx+9y^2 – InterviewSolution

1.

foctorize the following.(1)16x^2+24yx+9y^2

Answer»

16x²+24xy+9y²=(4x)²+(2×4×3)xy +(3y)²

Thus it is of form a²a+2ab+b²

Where a=4x; b=3y

Thus a²+2ab+b²=(a+b)²now (4x)²+(2×4×3)xy +(3y)²=(4x+3y)²

16x^2+24xy+9y^2(4x)^2+2*4x*3y+(3y)^2(4x+3y)^2

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