i am wonder if i did this correct. (6x+7)(3x+2) = 13?

Question

anonymous · Answer

What did you get?

anonymous · Answer

i got 13

anonymous · Answer

18X^2+33X+1=0

anonymous · Answer

Then no. You have x terms in there that aren't gonna go away.

anonymous · Answer

Are you given (6x+7)(3x+2) and asked to simplify? Or is it an equation?

anonymous · Answer

multiply

anonymous · Answer

Quadratic formula, anyone?

anonymous · Answer

Right. So you have to distribute..
$$(6x+7)(3x+2) = 6x(3x+2) + 7(3x+2)$$
And then distribute again.

anonymous · Answer

@dheeraj how did u get 0?

anonymous · Answer

It's not an equation. You can't solve it using the formula.

anonymous · Answer

Woops, my bad wasn't really paying attention.

anonymous · Answer

dheera thought you were working with the equation (6x+7)(3x+2) = 13

anonymous · Answer

But you aren't, so his solution is not what you want.

anonymous · Answer

i guess  i right after all

anonymous · Answer

No you aren't

anonymous · Answer

i wasnt ....so the answer is not 13 ?

anonymous · Answer

No. I already said that, and explained how to find the expanded form.

anonymous · Answer

YEP  I THOUGHT OF QUADRATIC EQUATION

radar · Answer

If you review this thread it was not an equation.  It was simply a multiplication problem.  So you won't have to use quadratic formula.

anonymous · Answer

exactly let me give u an example: (5x+2) (7x-3) = 35x^2-x-6

radar · Answer

Yes and from what polpak provided you will get;$$18x ^{2}+33x+14$$
provided i multiplied correctly

radar · Answer

Did you get that also?

anonymous · Answer

yes  but i am trying to figure out how is that possiable

radar · Answer

Some people use what they call FOIL.  I like to do it the old fashion way

                              6x+7
            times          3x+2
               ----------------
                            12x+14
               18x^2+ 21x
              -----------------
               18x^2+33x+14

anonymous · Answer

i got it  did i guess i didnt mine the wrong way

anonymous · Answer

I don't like foil or the 'old fashioned' way. I just distribute.
$$(6x+7)(3x+2) $$$$= 6x(3x+2) + 7(3x+2)$$$$=18x^2 + 12x  + 21x + 14$$$$=18x^2 + 33x + 14$$

radar · Answer

That looks like a simpler way than FOIL

anonymous · Answer

And it works when there's more than 2 terms!

anonymous · Answer

thanks guys

radar · Answer

Very good, a simple and to me a novel method.  I never did like FOIL

anonymous · Answer

It's not really novel.. You do it all the time for monomials. It's just a continuation of standard distribution.

$$3b(2c+d) = 3b(2c) + 3b(d)$$
But if b = (f+g)
We still get the right thing

anonymous · Answer

ok sounds good

anonymous · Answer

ok i got another  (4x+1)(2x^2+x+1)