Question

13) The value of
0.73 x 0.73 -0.27 x 0.27
÷
0.73 -0.27​

Answer 1

Answer:

4600

Step-by-step explanation:

0.73×0.73=5329

0.27×0.27=729

5329-729=4600

Answer 2

$\displaystyle \sf{ \frac{0.73 \times 0.73 - 0.27 \times 0.27}{0.73 - 0.27} } = 1$

Given :

$\displaystyle \sf{ \frac{0.73 \times 0.73 - 0.27 \times 0.27}{0.73 - 0.27} }$

To find :

To simplify the expression

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{0.73 \times 0.73 - 0.27 \times 0.27}{0.73 - 0.27} }$

Step 2 of 2 :

Simplify the expression

We use the formula a² - b² = ( a + b ) ( a - b )

$\displaystyle \sf{ \frac{0.73 \times 0.73 - 0.27 \times 0.27}{0.73 - 0.27} }$

$\displaystyle \sf{ = \frac{{(0.73 )}^{2} - {(0.27)}^{2} }{0.73 - 0.27} }$

$\displaystyle \sf{ = \frac{(0.73 + 0.27)(0.73 - 0.27) }{0.73 - 0.27} }$

$\displaystyle \sf{ = (0.73 + 0.27) }$

$\displaystyle \sf{ = 1 }$