Question

Factorize (x^2 + 3xy - 5y^2)

Answer 1

${x}^{2} + 3xy + 5{y}^{2} \\ \\ x( x + 3y) + 5 {y}^{2}$

Answer 2

Step by step solution :

Step 1 :

Equation at the end of step 1 :

((2 • (x2)) - 3xy) - 5y2

Step 2 :

Equation at the end of step 2 :

(2x2 - 3xy) - 5y2

Step 3 :

Trying to factor a multi variable polynomial :

3.1 Factoring 2x2 - 3xy - 5y2

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

Found a factorization : (2x - 5y)•(x + y)

Final result :

(2x - 5y) • (x + y)