Math, asked by amrindersingh5680, 5 months ago

Show that : (5x+8)² - 160x = (5x - 8)²

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Answered by Anonymous

19

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Answered by khashrul

2

Answer:

Shown that, $(5x+8)^2 - 160x = (5x-8)^2$

Step-by-step explanation:

$=>(5x+8)^2 - (5x-8)^2 = (5x+8+5x-8)(5x+8-5x+8)$ [using the identity $a^2 - b^2 = (a+b)(a-b)$ ]

$=>(5x+8)^2 - (5x-8)^2 = (10x)(16) = 160x$

$=>(5x+8)^2 - 160x = (5x-8)^2$

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