Question

Factorise 49x²-16
Please answer fastly

Answer 1

Answer:

$(7x + 4)(7x - 4)$

Step-by-step explanation:

We are given that

${49x}^{2} - 16$

We can use the algebraic expression

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

Where

${x}^{2} = {49x}^{2}$

${y}^{2} = 16$

Putting the value of x and y in the expression

$( {49x}^{2} - 16) = ( \sqrt{ {49x}^{2} } + \sqrt{16} )( \sqrt{ {49x}^{2} } - \sqrt{16} )$

$( {49x}^{2} - 16) = (7x + 4)(7x - 4)$

Hence factorized