2y2+22y+60

Factor 2 out of 2y2.

2(y2)+22y+60

Factor 2 out of 22y.

2(y2)+2(11y)+60

Factor 2 out of 60.

2y2+2(11y)+2⋅30

Factor 2 out of 2y2+2(11y).

2(y2+11y)+2⋅30

Factor 2 out of 2(y2+11y)+2⋅30.

2(y2+11y+30)

2(y2+11y+30)

Factor y2+11y+30 using the AC method.

Consider the form x2+bx+c. Find a pair of integers whose product is c and whose sum is b. In this case, whose product is 30 and whose sum is 11.

5,6

Write the factored form using these integers.

2((y+5)(y+6))

2((y+5)(y+6))

Remove unnecessary parentheses.

2(y+5)(y+6)

2(y+5)(y+6)

Factor 2y^2+22y+60