factorise 6p²-13q+6q²
Answers
Answered by
1
Answer:
Step-by-step explanation:
6
q
2
−
13
q
+
6
For a polynomial of the form
a
x
2
+
b
x
+
c
, rewrite the middle term as a sum of two terms whose product is
a
⋅
c
=
6
⋅
6
=
36
and whose sum is
b
=
−
13
.
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6
q
2
−
4
q
−
9
q
+
6
Factor out the greatest common factor from each group.
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2
q
(
3
q
−
2
)
−
3
(
3
q
−
2
)
Factor the polynomial by factoring out the greatest common factor,
3
q
−
2
.
(
3
q
−
2
)
(
2
q
−
3
)
Answered by
1
6p² - 13pq + 6q²
= 6p² - 9pq - 4pq + 6q²
= 3p( 2p - 3q ) - 2q ( 2p - 3q )
= ( 2p - 3q ) ( 3p - 2q )
Here is the answer
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