a^2-3a-54
factorise please
Answers
Answered by
36
Answer:
a^2-3a-54
=a^2+6a-9a-54
=a(a+6)-9(a+6)
=(a-9)(a+6)
Answered by
1
Answer:
I hope this will help you ☺️☺️
Step-by-step explanation:
a^{2} - 3a - 54a
2
−3a−54
Find two factor such that their sum is
-3a and product is -54
We know that -9×6=-54 and their sum is
-9+6=-3
So -9 and 6 are the numbers.
a^{2} - 9a + 6a - 54a
2
−9a+6a−54
a(a - 9) + 6(a - 9)a(a−9)+6(a−9)
(a - 9)(a + 6)(a−9)(a+6)
Now put
(a - 9) = 0(a−9)=0
a = 9a=9
Again put
(a + 6) = 0(a+6)=0
a = - 6a=−6
But your answer is to find the factor
So it's factor are
(a+ 6) \: and \: (a - 9)(a+6)and(a−9)
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