Question

Complete the factorization of 4x2 – 9.



4x2 – 9 = ( x – )( x + )

Answer 1

$\huge{ANSWER}$

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

so by identity

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

(2x+3)(2x-3)✔✔✔

Answer 2

Answer:

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

Step-by-step explanation:

$4x^2-9\\\\METHOD\ 1:\\\\4x^2+6x-6x-9=2x(2x+3)-3(2x+3)=(2x-3)(2x+3)\\\\METHOD\ 2:\\\\\text{use}\ a^2-b^2=(a-b)(a+b)\\\\4x^2=2^2x^2=(2x)^2\\9=3^2\\\\4x^2-9=(2x)^2-3^2=(2x-3)(2x+3)$