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I need some help on these...


(x - 2) (3x - 4) I think the answer for this one is: 4x - 6


(x + 6)^2


and I don't know what this answer could be. I'm probably off on the first one too... Can you show the step by step? Thank you so much in advance! also I'll mark brainliest

Respuesta :

Ben
3x^2 - 10x + 8

x^2 + 12x + 36



Let’s use the FOIL method of multiplying binomials. (First, Outside, Inside, Last).

Start by multiplying the *first* monomial in each binomial. x * 3x = 3x^2

Then, multiply the *outside* monomials. (First in the first binomial, last in the last binomial) x * -4 = -4x

Now, multiply the *inside* monomials. (Last in the first binomial, first in the last binomial) -2 * 3x = -6x

Finally, multiply the *last* monomial in each binomial. -2 * -4 = 8

Now just add these all together.

3x^2 + (-4x) + (-6x) + 8

3x^2 - 4x - 6x + 8

3x^2 - 10x + 8 is the answer.



Now, the second one is very similar. You can rewrite it as (x + 6)(x + 6), since ^2 means multiply everything by itself.

F: x * x = x^2

O: x * 6 = 6x

I: 6 * x = 6x

L: 6 * 6 = 36

Add: x^2 + 6x + 6x + 36

x^2 + 12x + 36 is the answer.



If I helped, please mark this answer as Brainliest to help me advance.
Snuffs

are you trying to combine them?

if so, then when you multiply parenthesis stuffs, you should FOIL.

foil stands for first, outside, inside, and last.

when we combine (x -2)(3x-4)

1. we multiply the first parts together x & 3x to get 3x^2.

2. then we multiply the "outsides," x & -4 to get -4x.

3. insides would be -2 & 3x, so -6x.

4. finally last is -2 & -4 to make 8.

putting it all together we get 3x^2 - 4x - 6x + 8.

or simply 3x^2 - 10x + 8 by combing like terms.

for (x + 6)^2 keep in mind that squaring is multiplying something by itself. so (x+6)^2 is the same as (x+6)(x+6).

applying the same foil technique:

1. x * x = x^2

2. x * 6 = 6x

3. 6 * x = 6x

4. 6 * 6 = 36

so we get x^2 + 6x + 6x + 36.

simplified it's x^2 + 12x + 36

keep in mind also that FOILing is only really good for binomials. (something like (x+6)(6x^2+7x+6) wouldnt work).

also also remember that all were really doing is just distributing

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