Simplify (2p+3) 2 - (2p-3) 2 (Give proper detailed answer with all steps, the 2 is the symbol of square)

Question

Jaelyn

Mathematics

29 September, 11:48

Simplify (2p+3) 2 - (2p-3) 2 (Give proper detailed answer with all steps, the 2 is the symbol of square)

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Answers (1)

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Trevon Haley · Answer 1

24p

Step-by-step explanation:

This is the difference of 2 squares: - a^2 - b^2 = (a + b) (a - b).

So here we have:-

(2p + 3) ^2 - (2p - 3) ^2

= (2p + 3 + (2p - 3)) (2p + 3 - (2p - 3))

= (2p + 3 + 2p - 3) (2p + 3 - 2p + 3

= 4p * 6

= 24p (answer)