(x+2y+4z)² ,Expand it, using suitable identities.
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Solution :
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We know the algebraic identity ,
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
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Now ,
( x + 2y + 4z )²
=x²+(2y)²+(4z)²+2x(2y)+2(2y)(4z)+2(4z)x
= x² + 4y² + 16z² + 4xy + 16yz + 8zx
•••••
*****************************************
We know the algebraic identity ,
(a+b+c)² = a²+b²+c²+2ab+2bc+2ca
******************************************
Now ,
( x + 2y + 4z )²
=x²+(2y)²+(4z)²+2x(2y)+2(2y)(4z)+2(4z)x
= x² + 4y² + 16z² + 4xy + 16yz + 8zx
•••••
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