Question

3. Simplify: (2x − p + c)2 – (2x +p - c)2?​

Answer 1

Answer:

8x(c-p)

Step-by-step explanation:

(2x − p + c)2 – (2x +p - c)2

= [2x + (c - p)]^2 –[2x - (c - p)]^2

= 4 (2x) (c-p)

= 8x(c-p)

Note :

use (a+b)^2 - (a-b)^2 = 4ab

Answer 2

$\textbf{\huge\underline{\underline\red{Solution} : - }}</p><p> \\ \\ = > \bold{ ({2x - p + c})^{2} - ({2x + p - c})^{2} } \\ \\ \bold{or \: we \: can \: write \: it \: as}\\ \\ = > \bold{ ({2x + p - c})^{2} - ({2x - p + c})^{2} } \\ \\ \bold \purple{we \: use \: formula}\\ \\ \bold \red{ {a}^{2} - {b}^{2} = {(a + b)} \: \: {(a - b)} } \\ \\ \bold {\underline \orange{let}} \\ \bold {\red{a = ({2x +p - c}) \: \: and \: \: b = ({2x -p + c})}}\\ \\ = \bold{( ({2x +p - c} )+ ({2x -p + c})) } \: \: \bold{ (({2x +p - c )-( 2x -p + c})) } \\ \\ = \bold{( {2x +p - c} + {2x - p + c}) } \: \: \bold{ ({2x +p - c -2x + p - c}) } \\ \\ = \bold {(4x) \: \: {(2p - 2c)} } \\ \\ = \fbox{\fbox{\bold \red {2((2x) \: (p - c))}}} \\ \\ \fbox{ \bold \purple{i \: hope \: it \: helps \: you.}}$