The value of 469 -1742 - 469-1742469 - 174 is

The correct option is B 4 (a+b)^2 (a b)^2=(a^2+2ab+b^2) (a^2 2ab+b^2)=4ab .Using the above identity, (469+174)^2 (469 174)^2469×174=4×469×174469×1 ...

163

You visited us 163 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Applying Difference of Squares as a Product of Its Sum and Difference

The value of ...

Question

The value of $\frac{(469 + 174)^{2} - (469 - 174)^{2}}{469 \times 174}$ is

2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

689

No worries! We‘ve got your back. Try BYJU‘S free classes today!

1023

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $4$
$(a + b)^{2} - (a - b)^{2} = (a^{2} + 2 a b + b^{2}) - (a^{2} - 2 a b + b^{2}) = 4 a b$ .

Using the above identity,

$\frac{(469 + 174)^{2} - (469 - 174)^{2}}{469 \times 174} = \frac{4 \times 469 \times 174}{469 \times 174} = 4$ .

$∴$ The answer is $4$ . $[B]$

Suggest Corrections

Similar questions

Q. The value of

\frac{(469 + 174)^{2} - (469 - 174)^{2}}{469 \times 174} =

________.

Q. What number comes between

467

and

469

Q. The numbers

234, 247, 346, 350, 467, 469

are in ascending order.

Q. The cost of a chair is Rs 1485. How much will 469 such chairs cost?

Q. In the given question, select the related number from the given alternatives.

136

:

469

:

:

247

:

?

Join BYJU'S Learning Program

The value of (469+174)2−(469−174)2469×174 is

The correct option is B 4(a+b)2−(a−b)2=(a2+2ab+b2)−(a2−2ab+b2)=4ab.Using the above identity,(469+174)2−(469−174)2469×174=4×469×174469×174=4.∴ The answer is 4. [B]

The value of $\frac{(469 + 174)^{2} - (469 - 174)^{2}}{469 \times 174}$ is

The correct option is B $4$
$(a + b)^{2} - (a - b)^{2} = (a^{2} + 2 a b + b^{2}) - (a^{2} - 2 a b + b^{2}) = 4 a b$ .

Using the above identity,

$\frac{(469 + 174)^{2} - (469 - 174)^{2}}{469 \times 174} = \frac{4 \times 469 \times 174}{469 \times 174} = 4$ .

$∴$ The answer is $4$ . $[B]$