Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • Expand each of the following, using suitable identities:[ 1 / 4 a - 1 / 2 b + 1] ^2

4.(vi)  Expand each of the following, using suitable identities:

     (vi)    \left [\frac{1}{4}a - \frac{1}{2}b + 1\right ]^2

Answers (1)

best_answer

Given is  \left [\frac{1}{4}a - \frac{1}{2}b + 1\right ]^2

We will Use identity  

(x+y+z)^2=x^2+y^2+z^2+2xy+2yz+2zx

Here, x =\frac{a}{4} , y = -\frac{b}{2} \ \ and \ \ z = 1

Therefore,  

\left [\frac{1}{4}a - \frac{1}{2}b + 1\right ]^2=\left(\frac{a}{4} \right )^2+\left(-\frac{b}{2} \right )^2+(1)^2+2.\left(\frac{a}{4} \right ). \left(-\frac{b}{2} \right )+2. \left(-\frac{b}{2} \right ).1+2.1.\left(\frac{a}{4} \right )

                               = \frac{a^2}{16}+\frac{b^2}{4}+1-\frac{ab}{4}-b+\frac{a}{2}

                                

Posted by

Gautam harsolia

View full answer

Similar Questions

Trending Articles/News

anam-khan

Board Exam Date 2025 Live: Bihar Class 10, 12 model papers out, time table soon; updates on CBSE, UP

Latest Question