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How do i factorise 18a+15b-20bc-24ac.

Is it a) (6a+5b)(3-4c)
b) (6a+5b)(4-3c)
c) (6a-5b)(3-4c)
d) (6a-5b)(3+4c)

2007-06-14 20:34:08 · 15 answers · asked by Russell2158 2 in Science & Mathematics Mathematics

15 answers

rearranging we have
18a-24ac+15b-20bc

factoring we 6a in the first two and 5 b in the last two
6a(3 - 4c)+5b(3 - 4c)

factoring 3 - 4c we have
(6a + 5b) (3 - 4c)

A

2007-06-14 20:43:47 · answer #1 · answered by TENBONG 3 · 1 1

With a multiple choice question like this one, you don't even have to know how to factorise. Just try each one in turn.

So for (a) (6a+5b)(3-4c) = 18a+15b-24ac-20bc.
Bingo, got it in one, the answer is (a).

2007-06-15 03:45:47 · answer #2 · answered by tsr21 6 · 1 0

its A.
(6a+5b)(3-4c)

you use the f.o.i.l. method you multiply first, outer, inner, last
for example...
6a times 3 =18a First
6a times -4c=-24ac outer
5b times 3=15b inner
5b times-4c=-20bc last

so you get 18a+15b-20bc-24ac
which is what u had in the beginning

2007-06-15 03:51:59 · answer #3 · answered by GeorgeM 2 · 1 1

18a + 15b - 20bc - 24ac =

Rearrange

18a - 24ac + 15b - 20bc =

Group factor

(18a - 24ac) + (15b - 20bc) =

6x(3 - 4c) + 5b(3 - 4c) =

(6a + 5b)(3 - 4c)

The answer is A

- - - - - - - - -s-

2007-06-15 07:44:23 · answer #4 · answered by SAMUEL D 7 · 1 0

Its (a) (6a+5b)(3-4c)

Multiply term by term: 6a . 3 (+)or(-) 6a.4c & then 5b.3 (+) or (-) 5b.4c .

By the way the guy who answerd 1st Rahhot or whatever is a moron.

2007-06-15 03:39:53 · answer #5 · answered by Googsy 1 · 1 0

18a+15b-20bc-24ac

18a-24ac +15b-20bc

6a(3-4c) +5b(3-4c)

(6a+5b)(3-4c)

so answer is a

2007-06-15 03:39:37 · answer #6 · answered by sweet n simple 5 · 1 1

It's a matter of multiplying:
Answer a) results in: 18a+15b-24ac-20bc
b) 24a+20b-18ac-15bc
c) 18a-15b-24ac+20bc
d) 18a-15b+24ac-20bc

Since you're allowed to swap the aswer is A)

2007-06-15 03:44:15 · answer #7 · answered by EllenWhite 1 · 1 0

(3-4c)(6a+5b)

2007-06-15 03:39:55 · answer #8 · answered by Antonia 2 · 1 0

The correct answer is "a".
If you multiply the two terms, you can see the equivalence.

2007-06-15 03:43:47 · answer #9 · answered by aref 1 · 1 1

i've forgotten how to factor already, but if i were you i would just expand all the given choices and see which one yields the term to be factored. it's pretty easy.

2007-06-15 03:37:57 · answer #10 · answered by Anonymous · 0 1

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