Question

(1) [ 1/4 a + 1/2 b - 1 ] ^ 2 expand​

Answer 1

Step-by-step explanation:

This is in a form of (a+b+c)²= a²+b²+c²+2ab+2bc+2ac

1/16 + 1/4 +1 +ab/4 - b - 1/2 a. <= Ans

I hope, It was helpful to you

Answer 2

$\sf \: As we know, \\ \\\rm(a+b+c)²=a²+b²+c²+2ab+2bc+2ca \\ \rm \: So, \\ \rm \: Here : \\ \rm a=\dfrac{a}{4} ,\rm b = \dfrac{b}{2} ,\rm c=\dfrac{1}{1}$

$\sf Now \: putting \: values,\\ \\ \rm\dfrac{a {}^{2} }{4 {}^{2} } + \rm{ \dfrac{b {}^{2} }{2 {}^{2} } + \rm \dfrac{1}{1} - 2×\dfrac{a}{4}×\dfrac{-b}{2} - 2×\dfrac{-b}{2} + 2 \times 1 + 1×\dfrac{a}{4}}$

Cancelling,

We get,

$\sf = \rm{ \dfrac{a {}^{2} }{16} + \dfrac{b {}^{2} }{4} + 1 - \dfrac{ab}{4} - b + \dfrac{a}{2} }$

${ \underline {\rule{300pt}{3pt}}}$