Question

Factorise : a² -  (a+b)²
pls tell me the answer​

Answer 1

a² - (a + b)²

a² - a² - 2ab - b²

-2ab - b²

Hope it helps ❤

Answer 2

QUESTION :

$\\ \sf{factorise \: : {a}^{2} - {(a + b)}^{2} }$

ANSWER :

$\\ \\ \sf{we \: \: will \: \: expand \: {(a + b)}^{2} \: \: using \: \: this \: \: formula }\: \: : \\ \\ \boxed{ \bf {(a + b)}^{2} = {a}^{2} + 2ab + {b}^{2} }$

$\sf {a}^{2} - ( {a}^{2} + 2ab + {b}^{2} ) \\ \\ \sf= {a}^{2} - {a}^{2} - 2ab - {b}^{2} \\ \\ \sf= 0 - 2ab - {b}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf= - 2ab - {b}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \sf{taking \: \: ( - b )\: \: as \: \: common} \: : \\ \\ \sf= \underline{\underline{ - b(2a + b) }}\: \: \: \: \: \: \: \: \: \: \: \: \:$

Hope this helps you !