Question

Розкладіть на множники: 1) m² - 9; 4) m²n2 - 9 16 2) 36a² - 1; 5) m8 - n2; 3) 0,49 – 0,64t2; 6) 0,1668 0,64c -​

Answer 1

1) m² - 9 = (m + 3)(m - 3)

2) 36a² - 1 = (6a + 1)(6a - 1)

3) 0,49 – 0,64t² = (0,7 + 0,8t)(0,7 - 0,8t)

4) m²n² - 9 = (mn + 3)(mn - 3)

5) m⁸ - n² = (m⁴ + n)(m⁴ - n)

Answer 2

1. m² - 9: This expression is a difference of squares and can be factored as follows: m² - 9 = (m + 3)(m - 3)

2. 36a² - 1: This expression is also a difference of squares and can be factored as follows: 36a² - 1 = (6a + 1)(6a - 1)

3. 0.49 - 0.64t²: This expression is a difference of squares, but in decimal form: 0.49 - 0.64t² = (0.7 - 0.8t)(0.7 + 0.8t)

4. m²n² - 9: This expression is a difference of squares: m²n² - 9 = (mn + 3)(mn - 3)

5. m⁸ - n²: This expression is a difference of squares: m⁸ - n² = (m⁴ + n)(m⁴ - n)

6. 0.1668c - 0.64c: These terms have a common factor of c: 0.1668c - 0.64c = c(0.1668 - 0.64) = c(-0.4732)