Question

Find the square of 498 using algebraic formula

Answer 1

$\huge \fbox \red{a} \fbox \green{n} \fbox \purple{s} \fbox \orange{w} \fbox \red{e} \fbox \blue{r}$

$\bold \pink{the \: value \: of \: the \: expression \: is \: 502 \times 498 = 249996}$

Step-by-step explanation:-

Given : 

Expression 502×498 .

To find : 

Use the formula to find the value of expression ?

Solution :

Re-write the expression as,

$\red{502 \times 498 = (500 + 2) \times (500 - 2)}$

Applying algebraic formula,

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

Here, 

• a=500 and b=2

Substitute the value:-

$\green{(500 + 2)(500 - 2) = (500) {}^{2} - (2) {}^{2} }$

$\green{502 \times 498 = 250000 - 4}$

$\green{502 \times 498 = 249996}$

Therefore, the value of the expression is 

$\fbox \red{502 × 498 = 249996.}$

Answer 2

$\huge\boxed{\mathcal\red{Answer : - }}$

$Decomposing \: the \: given \: number,$

$⇒  498=500−2             --- ( 1 )$

$Here, a=500 and b=2$

$Squaring \: both \: the \: sides \: of ( 1 ),$

$⇒  (498)2=(500−2)2$

$=(500)2−2(500)(2)+(2)2$

$\: \: \: \:  [ (a−b)2=a2−2ab+b2 ]$

$\: \: \: \: \: \: \: \: =250000−2000+4$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: =248004$

$∴  (498)2=248004$