Question

write the expressions
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Answer 1

Step-by-step explanation:

(a-b-c)^2 = a² + b² + c² - 2ab + 2bc - 2ac.

(2p - 2q - 3r)^2 = (2p)^2 + (-2q)^2 + (-3r)^2 - 2(2p)(-2q) +2(-2q)(-3r) - 2(2p)(-3r)

= 4p^2 + 4q^2 + 9r^2 + 8pq + 12qr + 12pr

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Answer 2

A N S W E R :

• 4p² + 4q² + 9r² + 8pq + 12qr + 12pr

S O L U T I O N :

$\large\star$ As we know that,

$\large\dag$ Formula Used :

• $\boxed{\bf{(a - b - c)^2 = a^2 + b^2 + c^3 - 2ab + 2bc -2ac}}$

${\sf{(2p - 2q - 3r)^2 = (2p)^2 + (-2q)^2 + (-3r)^2 - 2(2p) (-2q) + 2(-2q) (-3r) - 2(2p) (-3r) = 4p^2 + 4q^2 + 9r^2 + 8pq + 12qr + 12pr}}$

$~~~~$$\qquad\quad\therefore{\underline{\textsf{\textbf{Hence, Verified!}}}}$

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