factorise 36y^2 + 11y -12
pls help
Answers
Step-by-step explanation:
100y
6
−100
Factor out 100.
100(y
6
−1)
Consider y
6
−1. Rewrite y
6
−1 as (y
3
)
2
−1
2
. The difference of squares can be factored using the rule: a
2
−b
2
=(a−b)(a+b).
(y
3
−1)(y
3
+1)
Consider y
3
−1. Rewrite y
3
−1 as y
3
−1
3
. The difference of cubes can be factored using the rule: a
3
−b
3
=(a−b)(a
2
+ab+b
2
).
(y−1)(y
2
+y+1)
Consider y
3
+1. Rewrite y
3
+1 as y
3
+1
3
. The sum of cubes can be factored using the rule: a
3
+b
3
=(a+b)(a
2
−ab+b
2
).
(y+1)(y
2
−y+1)
Rewrite the complete factored expression. The following polynomials are not factored since they do not have any rational roots: y
2
−y+1,y
2
+y+1.
100(y−1)(y
2
+y+1)(y+1)(y
2
−y+1)