Question

(-2b+a^2)^2 (2y+1/4)^2 (-7x-1)^2

Answer 1

Ответ:

а^4-4a^2b+4b

4y^2+y+1/16

49x^2+14x+1

Пошаговое объяснение:

Answer 2

To simplify the given expression, we'll apply the rules of exponents and algebraic simplification step by step:

1. Simplify each term separately:

   • First term: (-2b + a^2)^2 = (-2b + a^2) * (-2b + a^2)
   • Second term: (2y + 1/4)^2 = (2y + 1/4) * (2y + 1/4)
   • Third term: (-7x - 1)^2 = (-7x - 1) * (-7x - 1)

2. Apply the distributive property to expand each term:

   • First term: (-2b + a^2) * (-2b + a^2) = 4b^2 - 2ab + a^4
   • Second term: (2y + 1/4) * (2y + 1/4) = 4y^2 + y + 1/16
   • Third term: (-7x - 1) * (-7x - 1) = 49x^2 + 14x + 1

3. Multiply all the expanded terms together: (4b^2 - 2ab + a^4) * (4y^2 + y + 1/16) * (49x^2 + 14x + 1)

Since there are no further common factors or like terms that can be combined, this is the simplified expression.