factories: 25x² + 49y² + 70xy - 112y - 80x + 64
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Step-by-step explanation:
Given expression is
25x² + 49y² + 70xy - 112y - 80x + 64
It can be written as
=>5²x²+7²y²+2(5x)(7y)-2(7y)(-8)+2(-8)(5x)+8²
=>(5x)²+(7y)²+(-8)²+2(5x)(7y)-2(7y)(-8)+2(-8)(5x)
It is in the form of a²+b²+c²+2ab+2bc+2ca
Here, a=5x;b=7y;c=-8
we know that
a²+b²+c²+2ab+2bc+2ca=(a+b+c)²
=>(5x+7y-8)²
=>(5x+7y-8)(5x+7y-8)
Factorization of 25x² + 49y² + 70xy - 112y - 80x + 64 is (5x+7y-8)(5x+7y-8)
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hope you understand it XD
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