Factor 6X to the fourth power minus 5X squared +12 X squared -10 by grouping what is the resulting expression

Mathematics

1 answer:

algol132 years ago

5 0

Answer:

(6x^2 - 5)(x^2 + 2).

Step-by-step explanation:

6x^4 - 5x^2 + 12x^2 - 10

= 6x^4 + 12x^2 - 5x^2 - 10

= 6x^2(x^ + 2) - 5(x^2 + 2)

(x^2 + 2) is common so we have:

(6x^2 - 5)(x^2 + 2).

You might be interested in

Solve the system of equations using matrices. Use the Gauss- Jordan elimination method And find a solution set

KATRIN_1 [288]

$\begin{gathered} x+y+z=4 \\ x-y-z=0 \\ x-y+z=8 \\ \text{The system using matrix is} \\ \begin{bmatrix}{1} & {1} & {1}, & {4} \\ {1} & {-1} & {-1,} & {0} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix}\rightarrow F2=F2-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {1} & {-1} & {1,} & {8}{}{}\end{bmatrix} \\ \rightarrow F3=F3-F1=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {-2} & {-2,} & {-4} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F2=-\frac{1}{2}F2 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {-2} & {0,} & {4}{}{}\end{bmatrix}\rightarrow F3=F3+2F2=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {2,} & {8}{}{}\end{bmatrix}\rightarrow F3=\frac{1}{2}F3 \\ =\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {1,} & {2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F2=F2-F3=\begin{bmatrix}{1} & {1} & {1}, & {4} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \rightarrow F1=F1-F3=\begin{bmatrix}{1} & {1} & {0}, & {0} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix}\rightarrow F1=F1-F2 \\ =\begin{bmatrix}{1} & {0} & {0}, & {2} \\ {0} & {1} & {0,} & {-2} \\ {0} & {0} & {1,} & {4}{}{}\end{bmatrix} \\ \text{Therefore, the solution is }x=2,\text{ y=-2 and z=4} \end{gathered}$

6 0

1 year ago

The reduce feature on a copy machine is set at 84%. The picture being copied is 4.5 inches wide. What will be the width of yhe r

snow_tiger [21]

Answer:

The answer is 3.825 inches, the reduced picture will be 84% of the size of the original

8 0

2 years ago

Read 2 more answers

Describe the process of subtracting a negative integer from a positive integer

emmasim [6.3K]

Its basically just subtracting from one another

for example, 6-6 is 6

or -4-3= 7

5 0

2 years ago

Solve the system of equations<br> 3x+4y+12<br> 9x-2y=15

Mrrafil [7]

3x+4y=12
9x-2y=15
we will use elimination
multiply 3x+4y=12 by -3

-9x-12y=-36
9x-2y=15
_________ add
-14y=-21
÷-14 both sides
y=1.5
find x
3x+4 (1.5)=12
3x+6=12
-6 both sides
3x=6
÷3 both sides
x=2

x=2
y=1.5

3 0

2 years ago

A baseball bat and 8 baseballs cost $163.25. The bat costs $106.45. What is the cost of one baseball?

Elan Coil [88]

The answer is $7.10 per baseball

5 0

2 years ago

Read 2 more answers