An expression is shown below:

10n3 − 15n2 + 20xn2 − 30xn

Part A: Rewrite the expression so the GCF is factored completely. (4 points)

Part B: Rewrite the expression completely factored. Show the steps of your work. (6 points)

(5n² + 10xn)(2n - 3)

Step-by-step explanation:

10n³ - 15n² + 20xn² - 30xn

First step is to rearrange so that it can be grouped. We have

(10n³ - 15n²) + (20xn² - 30xn)

Next, we find the Greatest Common Factor of each of the part in the grouping, so that

5n²(2n - 3) + 10xn (2n - 3)

And lastly, we rewrite the factorised expression.

(5n² + 10xn)(2n - 3)

And this is the answer.

I hope you find the steps easy to understand.

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b