Question

1)4a^2b^2-2a^4b^2 2)18m^2-18mn 3)14m^3n-21m^2m^3 4)x^3-x 5)a^4b^2-a^2b^4

Answer 1

Ответ:

1. 2a^2b^2(2-a^2)

2. 18m(m-n)

3. 7m^3(2n-3m^2)

4.x(x-1)(x+1)

5.a^2b^2(a-b)(a+b)

Answer 2

Let's simplify each of the given expressions:

1. 4a^2b^2 - 2a^4b^2: Factoring out the common term b^2, we get: b^2(4a^2 - 2a^4)

2. 18m^2 - 18mn: Factoring out the common term 18m, we get: 18m(m - n)

3. 14m^3n - 21m^2m^3: Combining like terms, we have: 14m^3n - 21m^5

4. x^3 - x: Factoring out the common term x, we get: x(x^2 - 1) Simplifying further, we have: x(x + 1)(x - 1)

5. a^4b^2 - a^2b^4: Factoring out the common term a^2b^2, we get: a^2b^2(a^2 - b^2) Simplifying further, using the difference of squares, we have: a^2b^2(a + b)(a - b)

Therefore, the simplified expressions are:

1. b^2(4a^2 - 2a^4)
2. 18m(m - n)
3. 14m^3n - 21m^5
4. x(x + 1)(x - 1)
5. a^2b^2(a + b)(a - b)