Question

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

Answer 1

Here's the required answer to your question

Answer 2

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

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

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

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★ 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