Question

Factorize 5(m+n)^2+17(m+n)-12

Answer 1

22m+n^​2+2n−12

Explanation:

5m+n^​2+20m+n−3m+n−12

(5m+20m−3m)+n^​2+(n+n)−12

22m+n^​2+2n−12

Answer 2

(m+n+4)(5m+5n-3)

Explanation:

5(m+n)^2+17(m+n)-12

• m+n=k

• 5k²+17k-12=
• 5k²- 3k +20k-12=
• k(5k-3)+4(5k-3)=
• (k+4)(5k-3)

(m+n+4)(5m+5n-3)