CameraIcon

SearchIcon

MyQuestionIcon

14

You visited us 14 times! Enjoying our articles? Unlock Full Access!

(x±a)(x±b) = x²±(a+b)x+ab.

Question 86 v...

Question

Question 86 (vi)

Using suitable identities, evaluate the following:

$(995)^{2}$

Open in App

Solution

We have,
$(995)^{2} = (1000 - 5)^{2} = (1000)^{2} + (5)^{2} - 2 \times 1000 \times 5 = 1000000 + 25 - 10000$
$= 990025$ [using the identity, $(a - b)^{2} = a^{2} + b^{2} - 2 a b$ ]

Suggest Corrections

thumbs-up

15

Similar questions

Question 86 (vi)

Using suitable identities, evaluate the following:

$(995)^{2}$

Question 86 (ii)

Using suitable identities, evaluate the following:

$(49)^{2}$

Question 86 (iv)

Using suitable identities, evaluate the following:

$(98)^{2}$

Question 86 (v)

Using suitable identities, evaluate the following:

$(1005)^{2}$

Question 86 (i)

Using suitable identities, evaluate the following:

$(52)^{2}$

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

(x±a)(x±b) = x²±(a+b)x+ab.

Standard IX Mathematics

Join BYJU'S Learning Program

CrossIcon