Question

4х^2+4х+1 36-12а+а^2 1-2а+а^ 25а^2+10а+1 m^2-16m+64 81+m^2+18m 25+x^2-10x 9a^2-6ab+b^2 m^2+n^2-2mn

Answer 1

Ответ:

$(2x+1)^{2}$

$(6-a)^{2}$

$(1-a)^{2}$

$(5a+1)^{2}$

$(m-8)^{2}$

$(9+m)^{2}$

$(5-x)^{2}$

$(3a-b)^{2}$

$(m-n)^{2}$

Объяснение:

Answer 2

To solve the given expressions, I'll simplify and perform any necessary calculations. Here are the results:

1. 4x^2 + 4x + 1: This expression is a perfect square trinomial, which can be factored as follows: 4x^2 + 4x + 1 = (2x + 1)^2

2. 36 - 12a + a^2: This is a quadratic trinomial. We can rearrange the terms and factor it as follows: 36 - 12a + a^2 = a^2 - 12a + 36 = (a - 6)^2

3. 1 - 2a + a^2: Similar to the previous expression, this is also a quadratic trinomial, which can be factored as follows: 1 - 2a + a^2 = a^2 - 2a + 1 = (a - 1)^2

4. 25a^2 + 10a + 1: This is another perfect square trinomial: 25a^2 + 10a + 1 = (5a + 1)^2

5. m^2 - 16m + 64: This is a perfect square trinomial with a different form: m^2 - 16m + 64 = (m - 8)^2

6. 81 + m^2 + 18m: This is a quadratic trinomial: 81 + m^2 + 18m = m^2 + 18m + 81 = (m + 9)^2

7. 25 + x^2 - 10x: This is a quadratic trinomial: 25 + x^2 - 10x = x^2 - 10x + 25 = (x - 5)^2

8. 9a^2 - 6ab + b^2: This expression is a quadratic binomial and can be factored as follows: 9a^2 - 6ab + b^2 = (3a - b)^2

9. m^2 + n^2 - 2mn: This expression seems to be the difference of squares. Let's check: m^2 + n^2 - 2mn = (m - n)^2

It seems like there might be a typo in the last expression. It should be 25a^2 + 10a + 1 instead of 25а^2+10а+1, and m^2 + n^2 - 2mn instead of m^2+n^2-2mn. If there's any other expression you'd like to have explained or if you meant something different, feel free to ask!