(3x + 1) (2x + 7)
Factored by grouping
Hey there :)
( a - b )( a² + ab + b² )
Let us distribute ( a - b ) into the other
a ( a² ) + a ( ab ) + a ( b² ) - b ( a² ) - b ( ab ) - b ( b² )
a³ + a²b + ab² - a²b - ab² - b³
We can further simplify
a²b - ab² = 0
ab² - ab² = 0
a³ - b³You can see in the picture which I have attached. It is the 8th formula
Answer:
The solution for y is y = 2x + 1
Step-by-step explanation:
* <em>Lets explain how to solve an equation for one of the variables</em>
- We need to solve the equation 16x + 9 = 9y - 2 x for y
- That means we want to find y in terms of x and the numerical term
- the equation has two sides, one side contains x and numerical term
and the other side contains y and x
- We need to separate y in one side, and other term in the other side
* <em>Lets do that</em>
∵ 16x + 9 = 9y - 2x
- Add 2x to both sides to cancel -2x from the right side
∴ 16x + 2x + 9 = 9y - 2x + 2x
- Add like terms in each side
∴ 18x + 9 = 9y
- Divide each term by the coefficient of y ⇒ (÷9)
∴ (18 ÷ 9)x + (9 ÷ 9) = (9 ÷ 9)y
∴ 2x + 1 = y
- Switch the two sides
∴ y = 2x + 1
* The solution for y is y = 2x + 1
Answer: C. 3.2 × 10^4
Step-by-step explanation:
for this case the multiplication of the values with exponent are summed, as the exponent are the 6 and -3
6 - 3 = 3
this will be the exponent of the common value which is the 10.
after you only need to multiply 8 and 4 by separate the
8 * 4 = 32.
then we only need to place the values one by one
32 × 10^3
3 is the result of the sum of the exponent.
10 is the common value.
32 is the result of the product.
if we add another zero to the multiplication we get 3.2 and exponent finish with one more zero, then we get this result
3.2 × 10^4
because of that the C is the correct answer, keep in mind that the other answers do not apply correctly the rule of the exponent, because the rest of answer give us wrong answer with final result of the exponent.
Answer:
5(4 + 3c) - 12 = 15c + 8
Step-by-step explanation:
1st step, expand it to make it a little easier to solve, 20 + 15c - 12
2nd step, subtract, 20 - 12 = 8
3rd step simplify, 15c + 8
