Math, asked by patelkt007197, 19 days ago

simplify :- (2x + 3y - 4z)² + ( 2x - 3y - 4z )²​

Answers

Answered by DevanshVerma1
2

Let's simplify step-by-step.

(2x+3y−4z)2+(2x−3y−4z)2

Distribute:

=4x2+12xy+−16xz+9y2+−24yz+16z2+4x2+−12xy+−16xz+9y2+24yz+16z2

Combine Like Terms:

=4x2+12xy+−16xz+9y2+−24yz+16z2+4x2+−12xy+−16xz+9y2+24yz+16z2

=(4x2+4x2)+(12xy+−12xy)+(−16xz+−16xz)+(9y2+9y2)+(−24yz+24yz)+(16z2+16z2)

=8x2+−32xz+18y2+32z2

Answer:

=8x2−32xz+18y2+32z2

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