Question

I need some help on these...

Answer 1

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

Answer 2

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.



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