Question

Разложите на множители a^2-a-b^2-b Многочлены записывайте в стандартном виде

Answer 1

Объяснение:

${a}^{2} - a - {b}^{2} - b = ( {a}^{2} - {b}^{2} ) - (a + b) = (a - b)(a + b) - (a + b) = (a + b)(a - b - 1)$

Answer 2

Factoring the Polynomial

To factor the polynomial a^2 - a - b^2 - b, we can group the terms and factor by grouping:

a^2 - a - b^2 - b = a(a - 1) - b^2 - b = a(a - 1) - (b^2 + b) = a(a - 1) - b(b + 1)

So, the factored form of the polynomial a^2 - a - b^2 - b is a(a - 1) - b(b + 1).

Discussion and Explanation

Factoring a polynomial involves expressing it as the product of other polynomials. In this case, we used the method of grouping to factor the given polynomial. By grouping the terms and factoring, we were able to express the polynomial in a factored form.

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