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Yuki888 [10]
2 years ago
15

Show that (x+5)^2-(x-5)^2=20x

Mathematics
1 answer:
Marta_Voda [28]2 years ago
8 0

Answer:

See Explanation

Step-by-step explanation:

formula \: to \: be \: used:  \\ \boxed{  \boxed{ {a}^{2} -  {b}^{2}   = (a + b)(a - b)}} \\  \\  {(x + 5)}^{2}  -  {(x - 5)}^{2}  \\  \\  =  \{(x + 5)  +  (x - 5) \} \{(x + 5)   -   (x - 5) \}  \\  \\  =  \{x +  \cancel5  +  x -\cancel 5 \} \{\cancel x + 5   -  \cancel x  +  5 \} \\  \\  =  \{2x \} \{10 \} \\  \\  = 20x \\  \\  \therefore \:  {(x + 5)}^{2}  -  {(x - 5)}^{2} = 20x \\ thus \: proved

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