To solve (3x-4y+5z)^2
Answers
Answered by
52
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 !
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 !
Anonymous:
:-)
Answered by
23
Heya........!!!!!
_______________________________
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
_______________________________
Hope It helps You ^_^
_______________________________
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
_______________________________
Hope It helps You ^_^
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