Question

To solve (3x-4y+5z)^2

Answer 1

Hi there !!

Given,
to find the value of

( 3x - 4y + 5z ) ²

This can be solved using an algebraic identity ie,
(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ac


( 3x - 4y + 5z ) ² can be written as

(3x + (-4y) + 5z)²
where,
a = 3x
b = -4y
c = 5z

So,

(3x + (-4y) + 5z)²

= (3x)² + (-4y)² + (5z)² + 2(3x)(-4y) + 2(-4y)(5z) + 2(3x)(5z)

= 9x² + 16y² + 25z² - 24xy - 40yz + 30xz [Answer]


Hope you got it !

Answer 2

Heya........!!!!!

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This question can be solved by using the identity :
=>( a + b + c ) ² = a ²  + b ²  + c ² + 2ab +2bc+2ac

=> Question : { 3x + ( -4y ) + 5z } ² 

Applying the identity , we get

=> ( 3x ) ²  + ( -4y ) ²  + ( 5z ) ² + 2(3x)(-4y) + 2(-4y )(5z) + 2(3x)(5z)

➡=> 9x ²  + 16y ²  + 25z ²  - 24xy - 40yz + 30xz , is the required answer


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Hope It helps You ^_^