8. Show that:
(a) (2x - 7y)² + 28xy = 4x² + 49y²
(b) (a-b)(a+b) + (b-c)(b+c) + (c-a)(c+a) = 0
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Answer:
a) 4x² + 49y². b) 0
Step-by-step explanation:
a) (2x - 7y)² + 28xy = 4x² + 49y²
=)(2x - 7y)² + 28xy
=) (2x)² + (7y)² - 2(2x)(7y) + 28xy
=) 4x² + 49y² - 28xy + 28xy
=) 4x² + 49y².
b) (a-b)(a+b) + (b-c)(b+c) + (c-a)(c+a) = 0
=) a(a-b) + b(a-b) + b(b-c) + c(b-c) + c(c-a) + a(c-a)
=) a²- ab + ab - b² + b² - bc + bc - c² + c² - ac + ac - a²
=) a² - a² - ab + ab - b² + b² - bc + bc - c² + c² - ac + ac
=) Hence all eliminated and result is ZERO '0'
Answered by
1
Answer:
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Step-by-step explanation:
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