Find the value of 383-082-303-082-686-16 -

The correct option is C 80Using the identity a^2 b^2=(a + b)(a b), We get nbsp; 383.08^2 nbsp; 303.08^2 = (383.08 + 303.08)(383.08 303.08) = 686.16 ...

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Standard VII

Mathematics

(a+b)(a-b) Expansion and Visualisation

Find the valu...

Question

Find the value of $\frac{(383.08)^{2} - ({303.08}^{2})}{686.16}$ .

8

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383.08

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80

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800

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Solution

The correct option is C $80$
Using the identity $a^{2} - b^{2} = (a + b) (a - b)$ ,

We get
${383.08}^{2} - {303.08}^{2}$
$= (383.08 + 303.08) (383.08 - 303.08)$
$= 686.16 \times 80$

So, $\frac{({383.08}^{2}) - ({303.08}^{2})}{686.16}$
$= \frac{686.16 \times 80}{686.16}$
$= 80$

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Find the value of (383.08)2−(303.082)686.16.

The correct option is C 80Using the identity a2−b2=(a+b)(a−b), We get 383.082−303.082 =(383.08+303.08)(383.08−303.08) =686.16×80 So, (383.082)−(303.082)686.16 =686.16×80686.16 =80

Find the value of $\frac{(383.08)^{2} - ({303.08}^{2})}{686.16}$ .

The correct option is C $80$
Using the identity $a^{2} - b^{2} = (a + b) (a - b)$ ,

We get
${383.08}^{2} - {303.08}^{2}$
$= (383.08 + 303.08) (383.08 - 303.08)$
$= 686.16 \times 80$

So, $\frac{({383.08}^{2}) - ({303.08}^{2})}{686.16}$
$= \frac{686.16 \times 80}{686.16}$
$= 80$