Question

which identity is used to elevate (M + 3) (M + 2)​

Answer 1

${\blue{\sf\underline{The\:identity\:used </p><p>\:is:- }}}$

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

${\blue{\sf\underline{Some\:other\: identities\::- }}}$

1.${x+y}^{2}$ = ${x}^{2}$ + $2xy$+ ${y}^{2}$

2.${x-y}^{2}$ = ${x}^{2}$ – $2xy$ + ${y}^{2}$

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

4.$(x+a)(x-b)$ = ${x}^{2}$ + $(a+b)x+ab$

5.${x+y+z}^{2}$ = ${x}^{2}$ + ${y}^{2}$ + ${z}^{2}$ + $2xy+2yz+2zx$

6.${x+y}^{3}$ = ${x}^{3}$ + ${x}^{3}$ +$3xy(x+y)$

7.${x-y}^{3}$ = ${x}^{3}$ – ${y}^{3}$ – $3xy(x-y)$

8.${x}^{3}$ + ${y}^{3}$ + ${z}^{3}$ – $-3xyz$

= (${x+y+z}$) (${x}^{2}$ +${y}^{2}$ + ${z}^{2}$ – ${xy-yz-zx)}$