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

Hello.

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

2.1 Factoring x2 - 11xy - 26y2

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

Found a factorization : (x + 2y) • (x - 13y)

Final result : (x + 2y) • (x - 13y)

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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 x^2 + 11xy - 26y^2.