Question

using the suitable algebaric identity,find the value of 32²​

Answer 1

$\huge{ \underline{ \overline{ \mid{ \mathfrak{ \purple{ \: \: SOLUTION \: \: } \mid}}}}}$

$\star \: \bold{ \underline{ \: \: IDENTITY \: \: USED \: \: }} \: \star \\ \\ \: \: \: \: \: \boxed{ \bold{ \pink{ \: \: (x + y) {}^{2} = x {}^{2} + 2xy + y {}^{2} \: \: }}}$

$\: \: \: \: \red{\tt{(32) {}^{2}} } \\ \\ \blue{\tt{ = (30 + 2) {}^{2} }} \\ \\ \pink{ \tt{ = (30) {}^{2} + 2 \times 30 \times 2 + (2) {}^{2} }} \\ \\ \green {\tt{ = 900 + 120 + 4}} \\ \\ \purple{\tt{ = 1024}}$

$\star \: \bold{ \underline{ \: \: IDENTITY \: \: USED \: \: }} \: \star \\ \\ \: \: \: \: \: \boxed{ \bold{ \pink{ \: \: (x - y) {}^{2} = x {}^{2} - 2xy + y {}^{2} \: \: }}}$

$\: \: \: \: \red{\tt{(32) {}^{2}} } \\ \\ \blue{\tt{ = (40 - 8 ) {}^{2} }} \\ \\ \pink{ \tt{ = (40) {}^{2} - 2 \times 40 \times 8 + (8) {}^{2} }} \\ \\ \green {\tt{ = 1600 - 640 + 64}} \\ \\ \purple{\tt{ = 1024}}$

Answer 2

32^2

=30^2+2^2+2(30)(2)

=900+4+120

=1024

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