X4)-(2•(x3)))-32x2)+18x
STEP
2
:
Equation at the end of step
2
:
(((x4) - 2x3) - 32x2) + 18x
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
x4 - 2x3 - 9x2 + 18x =
x • (x3 - 2x2 - 9x + 18)
Checking for a perfect cube :
4.2 x3 - 2x2 - 9x + 18 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: x3 - 2x2 - 9x + 18
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -9x + 18
Group 2: x3 - 2x2
Pull out from each group separately :
Group 1: (x - 2) • (-9)
Group 2: (x - 2) • (x2)
-------------------
Add up the two groups :
(x - 2) • (x2 - 9)
Which is the desired factorization
Trying to factor as a Difference of Squares:
4.4 Factoring: x2 - 9
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
A2 - B2
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (x + 3) • (x - 3)
Final result :
x • (x + 3) • (x - 3) • (x - 2)
Answer:
1.67 meters!
Step-by-step explanation:
First, we can start out by converting centimeters to meters. There are 100 centimeters in a meter, therefore to convert centimeters to meters we divide by 100. 17/100=0.17. Then, to figure out how tall Felicidad was last year, we must work backward, and subtract (because when you grow, you add). 1.84 meters- 0.17 meters= 1.67 meters!
Hope this helped!
Answer:
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
PLUG 8 in for n. Use the order of operations to evaluate. 26-3(8+8)/4=
becomes: 26-3(16)/4=; multiply 3 x 16 = 48, use order of operations to divide 48/4=12. Then problem becomes: 26-12 = 14.