Question

simplify (2/5-x/2)(x/2-2/5)-x^2+2x

Answer 1

Given: The expression (2/5-x/2)(x/2-2/5)-x^2+2x

To find: Simplify the given expression.

Solution:

• Now we have given that  (x/2-2/5)(2/5-x/2)-x^2+2x

• Now taking negative sign from first bracket, we get:

          -(2/5-x/2)(2/5-x/2) - x^2+ 2x

• Now, we know that (a - b)(a - b) = (a - b)² so:

          -(2/5-x/2)² - x^2 + 2x

          - [ (2/5)² - 2 x 2/5 x x/2 + (x/2)²]  - x^2 + 2x

          - [ 4/25 - 2x/5 + x²/4 ] - x^2 + 2x

          - 4/25 + 2x/5 - x²/4 - x^2 + 2x

• Now further simplifying this as quadratic terms, we get:

          - x²/4 - x^2 + 2x/5 + 2x - 4/25

          - 5x²/4 + 12x/5 - 4/25

Answer:

          So the simplified expression is: - 5x²/4 + 12x/5 - 4/25.

Answer 2

Step-by-step explanation:

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