Given the expression: 5x^10-80x^2 Part A: Rewrite the expression by factoring out the greatest common factor

Part B Factor the entire expression completely. Show the steps of your work

A) 5x²(x^(8) - 16)

B) 5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

Step-by-step explanation:

We are given the expression;

5x^(10) - 80x²

A) Since the expression is, 5x^(10) - 80x², the greatest common factor is 5x². So we will factorize that out.

So, we have;

5x²(x^(8) - 16)

B) The complete factorization of 5x²(x^(8) - 16) will be;

5x²[(x⁴ + √16) • (x⁴ - √16)]

Now, (x⁴ - √16)] can be broken than further into;

(x² + ∜16) • (x² - ∜16)

Also, (x² - ∜16) can be broken down into;

[(x + (8√16) • (x - (8√16))

So, our complete factorization gives us;

5x²[(x⁴ + √16) • (x² + ∜16) • (x + (8√16) • (x - (8√16))]

answer: c, the green line

step-by-step explanation:

there is no black line, eliminate b.

simple interest implies periodic payments, but the red line shows no payments, eliminate d.

simple interest has equal payments. if paid say every day, the graph is about a straight line (actually a stairstep).

the yellow line is not straight, eliminate a.

check: the green line is straight, answer is c.

simple interest with positive interest rate gives a straight line sloping up to the right. green line:

g(t) = $100 + ($200-$100) ÷ (20 years) × (t years)

= $100 + (4%/year) × ($100)(t years)

incidentally, the yellow line curving upward represents continuously compounded interest

y = $100 × 2^(t years / (14 assuming the yellow line hits $200 at 14 years. 2^0 is 1, so y(0) = $100; 2^(14/14) is 2, so y(14) = $200.