Math, asked by chandanchinnu2232, 5 months ago

Find THE SQUARE
OF 46 using (a+b)square formula​

Attachments:

Answers

Answered by MrAadil
3

Here's the required answer to your question

Attachments:
Answered by brainlyofficial11
3

Answer

  • square of 46 = (46)²

first method :

we can write 46 as (40 + 6)

so, (46)² = (40 +6)²

now, by using identity

 \boxed{ \pink {\bold{ {(a + b)}^{2} =  {a}^{2} +  {b}^{2} + 2ab   }}}

 \bold{ :  \implies \:  {(40)}^{2}  +  {(6)}^{2} + 2 \times 40 \times 6 } \\  \\  \bold{ :  \implies 1600 + 36 + 480} \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \\  \\  \bold{: \implies  \boxed{ \bold{2116}} } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

_____________________________

second method :

we can write 46 as (50 - 4)

so, (46)² = (50 - 4)²

now, by using identity

 \boxed{ \pink { \bold{ {(a - b)}^{2}  =  {a}^{2} +  {b}^{2}  - 2ab }}}

 \bold{: \implies  {(50)}^{2}   +  {(4)}^{2} - 2 \times 50 \times 4 } \\  \\  \bold{: \implies 2500 + 16 - 400 } \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:   \\  \\ :   \implies \boxed{ \bold{2116}}\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:\:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:

therefore, square of 46 is 2116

Similar questions