Simplify (6x−2)2(0.5x)4

Question

. Show your work. no exponents

Answer 1

To simplify the expression (6x - 2)^2 (0.5x)^4, we can first simplify each term within the parentheses.

(6x - 2)^2 = (6x - 2) × (6x - 2) = 36x^2 - 12x - 12x + 4 = 36x^2 - 24x + 4

(0.5x)^4 = (0.5)^4 × x^4 = 0.0625x^4

Now, we can simplify the expression by multiplying the two terms:

(36x^2 - 24x + 4) × (0.0625x^4)

= 36x^2 × 0.0625x^4 - 24x × 0.0625x^4 + 4 × 0.0625x^4

= 2.25x^6 - 1.5x^5 + 0.25x^4

Therefore, the simplified expression is 2.25x^6 - 1.5x^5 + 0.25x^4.