Question

expand
${(0.9p - 0.5q)}^{2}$
using suitable identities
​

Answer 1

Answer:

identity => (a-b)² = a² + b² -2ab

hence ..

(0.9p - 0.5q)² = (0.9)² + (0.5)² - 2(0.9)(0.5)

= 0.81p² + 0.25q² - 0.9pq

hope it helped :D

Answer 2

$\large{\color{black}{\textsf{\textbf{ Answer }}}}$

$\sf (0.9p−0.5q)^2$

$\sf Using, \boxed{ \red{ \sf{(a−b) }^{2} = {a}^{2}−2ab+ {b}^{2} }} \pink \bigstar$

$\sf \implies (0.9p)^2 −2(0.9p)(0.5q)+(0.5q)^2$

$\sf \implies 0.81p^2−0.9pq+0.25q^2$