Question

the value of (2.7)^2-(1.3)^2/1.4 is ______.
a)1. b)1.4. c)4. d)5.6​

Answer 1

Step-by-step explanation:

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Answer 2

$\displaystyle \sf{ \frac{ {(2.7)}^{2} - {(1.3)}^{2} }{1.4} } = 4$

Given :

$\displaystyle \sf{ \frac{ {(2.7)}^{2} - {(1.3)}^{2} }{1.4} }$

To find :

The value of the expression is

a) 1

b) 1.4

c) 4

d) 5.6

Formula :

a² - b² = ( a + b ) ( a - b )

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ \frac{ {(2.7)}^{2} - {(1.3)}^{2} }{1.4} }$

Step 2 of 2 :

Find the value of the expression

We use the formula

a² - b² = ( a + b ) ( a - b )

The given expression

$\displaystyle \sf{ = \frac{ {(2.7)}^{2} - {(1.3)}^{2} }{1.4} }$

$\displaystyle \sf{ = \frac{(2.7 + 1.3) \times (2.7 - 1.3)}{1.4} }$

$\displaystyle \sf{ = \frac{4.0 \times 1.4}{1.4} }$

$\displaystyle \sf{ = 4.0 }$

$\displaystyle \sf{ = 4}$

Hence the correct option is c) 4

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