Hi!
Tip #1: To multiply polynomials, consider the variables separate from the numbers.
So we are multiplying 2xyz * -4x²yz
Let's start by multiplying the variables.
xyz * x²yz
Tip #2: The exponents tell you how many of each variable there are. When multiplying variables, add the exponents. When a variable does not seem to have an exponent, that means there is an invisible exponent of 1! (x =
)
xyz * x²yz = (x + x²)(y + y)(z + z) = x³y²z²
Now multiply the numbers! (just like normal)
2 * -4 = -8
Now combine the numbers with the variables once again.
-8x³y²z²
The answer for 2xyz * -4x²yz is -8x³y²z²
Hope this helps! :)
Get rid of brackets:
21x +6 +8x
Put 6 to the other side:
21x +8x = -6
27x = -6
Divide both sides by 27
X= -0.22
Answer:
Step-by-step explanation:
x^2+8x-3=0 (move constant to other side by adding 3 to each side)
x^2+8x=3 (halve thr linear coefficient, square it and add to each side, (8/2)^2=16)
x^2+8x+16=3+16 (now the left side is a perfect square)
(x+4)^2=19 (now take the square root of each side)
x+4=+-(19^(1/2)) (finally subtract the constant to isolate x by itself)
x= -4+-(19^(1/2))
x=negative four plus or minus the square root of nineteen
It decreases
The further two objects are, the gravitational attraction decreases and the closer two objects are, the gravitational attraction increases