Madhya Pradesh Police Exam Model Paper 3

Question : 71 of 100

Marks: +1, -0

(x+2y)^3+(2x+y)^3

can be factorized as:

Solution:

Since,

(a+b)^3=a^3+b^3+3a^2+3ab^2

(x+2y)^3+(2x+y)^3

x^3+6x^2y+12xy^2+8y^3+8x^3+12x^2y+6xy^2+y^3

9x^3+18x^2y+18xy^2+9y^3

9(x^3+2x^2y+2xy^2+y^3)

9(x^3+y^3+2x^2y+2xy^2)

9[(x^3+y^3)+2xy(x+y)]

9[(x+y)(x^2-xy+y^2)+2xy(x+y)]

9[(x+y)(x^2-xy+2xy+y^2)]

9(x+y)(x^2+xy+y^2)

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