PLEASE HELP
Given the expression: 3x10 - 48x2
Part A: Rewrite the expression by factoring out the greatest common factor. (4 points)
Part B: Factor the entire expression completely. Show the steps of your work. (6 points)

a.  3x^2 ( x^8 - 16 )

b.  3x^2 ( x^2     - 2 )  (x^2 +2)( x^4   +4 )

Step-by-step explanation:

3x^10 - 48x^2

We can factor out 3 x^2

3x^2 ( x^8 - 16 )

We know the terms inside the parentheses is the difference of squares and

(a^2 -b^2) = (a-b) (a+b)

3x^2 ( x^4 ^2   - 4^2 )

3x^2 ( x^4    - 4 )( x^4   +4 )

The first term in parentheses is the difference of squares

3x^2 ( x^2 ^2    - 2^2 )( x^4   +4 )

3x^2 ( x^2     - 2 )  (x^2 +2)( x^4   +4 )

A) 3x²(x⁸ - 16)

B) 3x²(x⁴ + 4)(x² - 2)(x² + 2)

Step-by-step explanation:

3x¹⁰ - 48x²

3x²(x⁸ - 16)

3x²[(x⁴)² - 4²]

3x²[(x⁴ - 4)(x⁴ + 4)]

3x²(x⁴ + 4)[(x²)² - 2²]

3x²(x⁴ + 4)(x² - 2)(x² + 2)

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

180°

step-by-step explanation:

sum of equilateral triangle=180°

< n=60°

< m=120°°[angle supplementary of equilateral angle]

< m+< r+< x=360°(sum of exterior angle of triangle)