CAN SOMEONE PLEASE HELP ME WITH MY SQUARE ROOT AND FOILING PLEASE?

FOIL is just distributive property of multiplication

(a+b)(c+d) = ac + ad + bc + bd

proof with distributive property:
(a+b)(c+d) = a(c+d) + b(c+d)
= ac + ad + bc + bd

[�ãv(2x+2) - �ãv(x-3)][�ãv(2x+2) - �ãv(x-3)] = 4

I do not understand your special symbols but perhaps they are radical signs?

If so then
[ sqrt(2x+2) - sqrt (x-3) ] [sqrt(2x+2) -sqrt (x-3) ] = 4

sqrt (a) sqrt (a) = a
so
(2x+2) - 2 sqrt (2x+2) sqrt(x-3) + (x-3) = 4
or
3 x -2 sqrt (2x+2) sqrt(x-3) = 5
or
(3 x -5)/2 = sqrt (2x^2 -4 x - 6)
square both sides
(9 x^2 -30 x +25)/4 = 2 x^2 -4 x - 6
or
9 x^2 - 30 x + 25 = 8 x^2 - 16 x - 24
or
x^2 -14 x + 49 = 0
(x-7)(x-7) = 0
x = 7

Thank you.

x- -1 when x=3

Of course! I'd be happy to help you with square roots and foiling. Let's start with square roots.

To find the square root of a number, you want to find the number that, when multiplied by itself, gives you the original number. Here's how you can do it step by step:

1. Start with the number you want to find the square root of.
2. Estimate the value of the square root. You can do this by thinking about numbers that, when multiplied by themselves, give you a result close to the original number.
3. Take your estimated value and square it (multiply it by itself).
4. Compare the result to the original number. If it's larger, try a smaller estimate. If it's smaller, try a larger estimate.
5. Continue adjusting your estimate and squaring it until you find a value whose square is very close to the original number.

For example, let's find the square root of 9:
1. Start with 9.
2. Estimate: Let's choose 3 as an estimate.
3. Square the estimate: 3 * 3 = 9.
4. Since the squared estimate is equal to the original number, we have found the square root of 9. So the square root of 9 is 3.

Now let's move on to foiling, which is a method used to multiply two binomials. The term "FOIL" stands for "First, Outside, Inside, Last," which indicates the order in which you multiply the terms. Here's how it works:

1. Write down the two binomials you want to multiply.
2. Multiply the first term of each binomial (the "First" terms) and write down the result.
3. Multiply the outer terms (one term from the first binomial and one term from the second binomial) and write down the result.
4. Multiply the inner terms (the other two terms from each binomial) and write down the result.
5. Multiply the last terms of each binomial and write down the result.
6. Combine all the results obtained in steps 2, 3, 4, and 5.
7. Simplify the expression if possible.

For example, let's foil the binomials (x + 2) and (x - 3):
1. Write down: (x + 2) * (x - 3)
2. Multiply the first terms: x * x = x^2
3. Multiply the outer terms: x * (-3) = -3x
4. Multiply the inner terms: 2 * x = 2x
5. Multiply the last terms: 2 * (-3) = -6
6. Combine the results: x^2 - 3x + 2x - 6
7. Simplify the expression: x^2 - x - 6

I hope these explanations help you! If you have any more specific questions or need further assistance, feel free to ask.