Question

1) (2x + 8y)^2

2) (3x + y + 2z )^2

Answer 1

$<b><I>$Heyaaa mate


The answer is:-


It can be solved using some algebraic identities.


They are -


1. (a + b )² = a² + 2ab + b²


2. (a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ac

Now,

According to question,

1. (2x + 8y)²

=> (2x)² + 2(2x)(8y) + (8y)²

=> 4x² + 32xy + 64y²

_____________________________

2. (3x + y + 2z)²

=> (3x)² + y² + (2z²) + 2 (2x) (y) + 2 (y) (2z) + 2 (2z) (3x)

=> 9x² + y² + 4z² + 4xy + 4xz + 12zx

Hope it helps you

Thanks

Answer 2

Answer :

1) 4x² + 32 xy + 64 y²

2) 9x² + y² + 4z² + 4xy + 4yz + 12zx.

Step-by-step explanation :

We will use some identities here ;

( a + b )² = a² + 2 ab + b²

( a + b + c )² = a² + b² + c² + 2ab + 2bc + 2ca.

Coming to the question ;

1) ( 2x + 8y )²

⇒ ( 2x )² + 2 * 2x * 8y + ( 8y )²

⇒ 4x² + 32 xy + 64 y²

Hence the answer is 4x² + 32 xy + 64 y².

2) ( 3x + y + 2z )²

⇒ ( 3x )² + y² + ( 2z )² + (2 * 3x * y) + (2 * y * 2z) + (2* 2z * 3x)

⇒ 9x² + y² + 4z² + 6xy + 4yz + 12zx.

Hence, the answer is

9x² + y² + 4z² + 6xy + 4yz + 12zx.