The simplified form of (4x+3) ^2(3x-5) -(4x^2-12x^2+9x-20) is

Correct Answer is : 44x3+4x2−102x−25

SSC CHSL 8 Jan 2017 Shift 3 Paper

Question : 58 of 100

Marks: +1, -0

The simplified form of

(4x+3) ^2(3x-5)

-(4x^2-12x^2+9x-20)

Solution:

Expression :

(4x+3) ^2(3x-5)

-(4x^2-12x^2+9x-20)

[(16x^2+24x+9)(3x-5)]

-(4x^3-12x^2+9x-20)

[(48x^3-80x^2 )+(72x^2-120x)

+(27x-45)]

+(-4x^3+12x^2-9x+20)

(48x^3-4x^2 )+(-80+72x^2+12 x^2)

+(-120x+27x-9)+(-45+20)

=44x^2+4x^2-102x-25

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