Question

factorize : 4x^2 - 9​

Answer 1

Answer:

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

Step-by-step explanation:

Given That,

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

now compare this Equation with The formula ;

$( {x}^{2} - {y}^{2} ) = (x - y) (x + y)$

if we write

$4 {x}^{2} = {(2x)}^{2}$

they both are equal;

similarly ;

$9 = {(3)}^{2}$

the Given Equation become;

$(4 {x}^{2} - 9) = ({(2x)}^{2} - {(3)}^{2} )$

So By using Formula;

Factors of

$4 {x}^{2} - 9 = (2x - 3)(2x + 3)$

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