Question

Розкладіть на множники: х2 – у2 +х – у; 4х2 – 4xy +y2 – 9; ас — с* — ас2 + c2; 4 — m2 + 2mn n2. Помогите пожалуйста

Answer 1

Ответ:

(x-y)(x+y+1)

(2x-y-3)(2x-y+3)

c(a-1)(1-c)

(2-m+n)(2+m-n)

Answer 2

Розкладіть на множники: х^2 – у^2

To factorize the expression х^2 – у^2, we can use the difference of squares formula, which states that a^2 – b^2 can be factored as (a + b)(a - b). In this case, х^2 – у^2 can be factored as (х + у)(х - у).

Розкладіть на множники: 4х^2 – 4xy + y^2 – 9

To factorize the expression 4х^2 – 4xy + y^2 – 9, we need to look for factors that can be multiplied together to give us the original expression. In this case, the expression can be factored as (2х - y - 3)(2х - y + 3).

Розкладіть на множники: ас – с* – ас^2 + c^2

To factorize the expression ас – с* – ас^2 + c^2, we can group the terms and factor out common factors. By doing so, we get c(a - c) - c*(a - c), which can be further factored as (c - c*)(a - c).

Розкладіть на множники: 4 - m^2 + 2mn + n^2

To factorize the expression 4 - m^2 + 2mn + n^2, we can rearrange the terms and look for factors that can be multiplied together to give us the original expression. In this case, the expression can be factored as (2 - m + n)(2 + m + n).

I hope this helps! Let me know if you have any further questions.