Question

Find the HCF of 2x²+x-3, 4x²-9​

Answer 1

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 ) ...