Question

factories x^2-4y^2-4x+4​

Answer 1

$\huge{ \underline{ \underline{ \text{✿Solution!}}}}$

$\sf{ \red{ {x}^{2} - 4y {}^{2} - 4x + 4}}$

$\sf{ = > ( {x}^{2} - 4x + 4) - 4y {}^{2}}$

$\sf{ = > ({x}^{2} - 2x - 2x + 4) - (2y) {}^{2} }$

$\sf{ = > x(x - 2) - 2(x - 2) - (2y) {}^{2} }$

$\sf{ = > (x - 2)(x - 2) - (2y) {}^{2}}$

$\sf{ = > (x - 2) {}^{2} - (2y) {}^{2} }$

$\sf{ = > (x - 2 - 2y)(x - 2 + 2y)}$

$\sf{ \orange{ = > (x - 2y - 2)(x + 2y - 2)}}$

Formula used:-

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

ʜᴏᴘᴇ ᴛʜɪs ʜᴇʟᴘs!!!!