Factoring the polinomial x^{2}+9xy-36y^{2}

Monincbh

Monincbh

Answered question

2021-11-14

Factoring the polinomial x2+9xy36y2

Answer & Explanation

Parminquale

Parminquale

Beginner2021-11-15Added 17 answers

Step 1 
Concept: 
Difference of two squares: a2b2=(a+b)(ab) 
Difference of two cubes: a3b3=(ab)(a2+ab+b2) 
Sum of two cubes: a3+b3=(a+b)(a2ab+b2) 
trinomial with a perfect square:
a2+2ab+b2=(a+b)2 
a22ab+b2=(ab)2 
Step 2 
From the idea stated above
x2+9xy362 
x23xy+12xy36y2 
x(x3y)+12y(x3y) 
(x3y)(x+12y) 
After factoring a polynomial, we got (x3y)(x+12y)

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