Question

Factorise the following expression:
i) x²-4x+3xy
ii) 12x³y-16y²+8x²y
iii) 18x²y+9xy+27
iv) 2ab²-6a²b²+4ab​

Answer 1

Answer:

Class 9

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>>Polynomials

>>Factorisation of Polynomial

>>Factorise:(i) 4x^2 + 9y^2 +...

Question



Factorise:

(i) 4x2+9y2+16z2+12xy−24yz−16xz

(ii) 2x2+yz+8z2−22xy+42yz−8xz

Medium

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Solution



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We know that 

(x2+y2+z2+2xy+2yz+zx)=(x+y+z)2

(i) 4x2+9y2+16z2+12xy−24yz−16xz

=(2x)2+(3y)2+(−4z)2+2(2x)(3y)+2(3y)(−4z)+2(−4z)(2x)

=(2x+3y−4z)2=(2x+