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SSC Selection Post 2022 PYQ — Question 71

SSC Selection Post - Graduation Level - 2 Aug 2022 - Shift 3 • Quantitative Aptitude • Q71

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Factorize the given algebric expression :

x3+27y3+64z3−36xyzx^3 + 27 y^3 + 64z^3 - 36xyz

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Correct answer: C

Explanation

The correct answer is option 3 i.e.  (x+3y+4z)(x2+9y2+16z2−3xy−12yz−4xz)(x + 3y + 4z)(x^2 + 9y^2 +16z^2 -3xy -12yz -4 xz).

x3 + 27y3 + 64z3 - 36xyz

= x3 + 27y3 + 64z3 - 3(x)(3y)(4z)

= (x + 3y + 4z)[x2 + (3y)2 + (4z)2 - x(3y) - (3y)(4z) - (4z)x]

= (x + 3y + 4z)(x2 + 9y2 + 16z2 - 3xy - 12yz - 4xz)