Question

find the HCF of 2x²+x-3, 4x²-9​

Answer 1

Step-by-step explanation:

1st expression ,

$2 {x}^{2} + x - 3$

$2 {x}^{2} + (3 - 2)x - 3$

$2 {x}^{2} + 3x - 2x - 3$

$x(2x + 3) - 1(2x + 3)$

$(x - 1) \: (2x + 3)$

2nd expression

$4 {x}^{2} - 9$

Using the formula

${a}^{2} - {b}^{2} = (a + b) \: (a - b)$

$(2x {)}^{2} - (3 {)}^{2}$

$(2x + 3) \: (2x - 3)$

Now ,

HCF = CF

HCF = ( 2x + 3 ) ...