Question

7. Using identities, simplify the following: (2)
i) (x + 3 ) (x + 1)​

Answer 1

$\large \red{ \underline{ \underline{ \green{ \rm \: solution : }}}}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \rightarrow$Identity:

$\bigstar$ (x + a)(x + b) = x² + (a + b)x + ab

here,

• x = x

• a = 3

• b = 1

$\implies$ (x + 3 ) (x + 1) = x² + (3 + 1)x + (3×1)

$\implies \orange{ \boxed{ \underline{ \purple{ \rm \: (x + 3 ) (x + 1) = x² + 4x + 3}}}}$

Answer 2

$\star \star \star \star \star \star \star \star \star$

Identity

( x + a ) ( x + b ) = (x) ^(2) + (a + b ) x + a b

◆ x = x

◆ a = 3

◆ b = 1

==> ( x + 3 ) ( x + 1 ) = x ^ 2 + ( 3 + 1 ) x + ( 3 × 1 )

Answer ==

( x + 3 ) ( x + 1 ) = x ^ 2 + 4 x + 3

I hope this will help you...