Ответ:
В решении.
Объяснение:
3. Разложить на множители:
1) ху - xz + my - mz =
= (ху - xz) + (my - mz) =
= x(y - z) + m(y - z) =
= (y - z)*(x + m);
2) 4a - 4b + ca - cb =
= (4a - 4b) + (ca - cb) =
= 4(a - b) + c(a - b) =
= (a - b)*(4 + c);
3) 5a - ab - 5 + b =
= (5a - ab) - (5 - b) =
= a(5 - b) - (5 - b) =
= (5 - b)*(a - 1);
4) a⁷ + a⁵ + 2a² + 2 =
= (a⁷ + a⁵) + (2a² + 2) =
= a⁵(a² + 1) + 2(a² + 1) =
= (a² + 1)*(a⁵ + 2);
5) 8ху - 4у + 2х² - х =
= (8ху - 4у) + (2х² - х) =
= 4у(2х - 1) + х(2х - 1) =
= (2х - 1)*(4у + х);
6) 3х³ - 5х²у - 9х + 15у =
= (3х³ - 9х) - (5х²у - 15у) =
= 3х(х² - 3) - 5у(х² - 3) =
= (х² - 3)*(3х - 5у).
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Answers & Comments
Ответ:
В решении.
Объяснение:
3. Разложить на множители:
1) ху - xz + my - mz =
= (ху - xz) + (my - mz) =
= x(y - z) + m(y - z) =
= (y - z)*(x + m);
2) 4a - 4b + ca - cb =
= (4a - 4b) + (ca - cb) =
= 4(a - b) + c(a - b) =
= (a - b)*(4 + c);
3) 5a - ab - 5 + b =
= (5a - ab) - (5 - b) =
= a(5 - b) - (5 - b) =
= (5 - b)*(a - 1);
4) a⁷ + a⁵ + 2a² + 2 =
= (a⁷ + a⁵) + (2a² + 2) =
= a⁵(a² + 1) + 2(a² + 1) =
= (a² + 1)*(a⁵ + 2);
5) 8ху - 4у + 2х² - х =
= (8ху - 4у) + (2х² - х) =
= 4у(2х - 1) + х(2х - 1) =
= (2х - 1)*(4у + х);
6) 3х³ - 5х²у - 9х + 15у =
= (3х³ - 9х) - (5х²у - 15у) =
= 3х(х² - 3) - 5у(х² - 3) =
= (х² - 3)*(3х - 5у).