Question

evaluate( x + 1/2)(x + 3/2)​

Answer 1

( x + 1/2)(x + 3/2)​

(x^2)+(3x/2)+(x/2)+(3/4)

(x^2)+(4x/2)+(3/4)

(x^2)+(2x)+(3/4)

Alternate method:-

( x + 1/2)(x + 3/2)​

((2x+1)/2)((2x+3)/2)

((2x+1)(2x+3))/4

(4x^2+6x+2x+3)/4

(2(2x^2+3x+x+(3/2)))/4

(2x^2+4x+(3/2))/2

(x^2)+(2x)+(3/4)

Answer 2

Answer:

4x^2+4x+3 is ans

Step-by-step explanation:

(x+1/2)(x+3/2)

=x^2+3x/2+x/2+3/4

=x^2+2x+3/4

={(4x^2+4x+3)/4}4

=4x^2+4x+3