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STatiana [176]
3 years ago
5

Factor: x^2 + 11xy - 26y^2

Mathematics
2 answers:
Talja [164]3 years ago
6 0
Think of possible factors of 26.  2 and 13 are a prime example.

Factors of 26y^2 would then be 2y and 13 y.

Note that 13y - 2y = 11y.

Try these factors:  (x -2y  )(x + 13y  )

Check them by multiplication.  You must obtain <span>x^2 + 11xy - 26y^2.

</span>
irina1246 [14]3 years ago
3 0
Hello.

(x + 2y) • (x - 13y) Step by step solution :<span>Step  1  :</span><span>Equation at the end of step  1  :</span><span> ((x2) - 11xy) - (2•13y2) </span><span>Step  2  :</span>Trying to factor a multi variable polynomial :

<span> 2.1 </span>   Factoring   <span> x2 - 11xy - 26y2</span> 

Try to factor this multi-variable trinomial using trial and error<span> 

 </span>Found a factorization  :  (x + 2y)•(x - 13y)

Final result : (x + 2y) • (x - 13y)
<span>
Have a nice day</span>
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