Question

simplify (2x+p-c)^2-(2x-p+c)^2

Answer 1

$\textbf {\huge{ANSWER:}}$

Identity used;

${(x -y)}^{2} = {x}^{2} + {y}^{2} - 2xy$
Also,
${(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy$


Starting with your question;
Your answer is in the attachment.

Cheers!!
#BeBrainly

Answer 2

Heya Mate

The method above +_+ might just help or ->

(•) ( a² - b² ) = ( a + b )( a - b )

So,

$(2x + p - c) {}^{2} - (2x - p + c) {}^{2}$

$= ((2x + p - c) + (2x - p + c))((2x + p - c) - (2x - p + c)$

$= (4x)(2p - 2c)$

$= 8x(p - c)$
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Hope that helps ^^"