Question

using appropriate identity, simplify the following:-
(1). (m+2n)²
(2). 1004×996
(3). (-b+c)(b+c)​

Answer 1

Answer:

(1).

(m+2n)²

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

=

$(m) {}^{2} + (2n) {}^{2} + 2(m)(2n)$

=

$m {}^{2} + 4n {}^{2} + 4mn$

2).

1004×996

= (1000+4) (1000-4)

=

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

=

$(1000) {}^{2} - (4) {}^{2}$

= 1000000 - 16

= 999984

(3).

(-b+c)(b+c)

= (c-b) (c+b)

=

$(c ){}^{2} -( b) {}^{2}$