Question

Розкладіть на множники: а) 36 – b2 б) 0,09 – 16m2

Answer 1

Ответ:

36-b²=6²-b²=(6-b)(6+b)

0,09-16m²=0,3²-(4m)²=(0,3-4m)(0,3+4m).

Объяснение:

a²-b²=(a-b)(a+b).

разность квадратов.

Answer 2

за цією формулою:

a²-b²=(a-b)(a+b)

маємо:

а) 36-b²=(6-b)(6+b)

б) 0,09-16m²=(0,3-4m)(0,3+4m)

Answer 3

а) 36 - b^2: 36 - b^2 can be factored using the difference of squares formula, which states that a^2 - b^2 = (a + b)(a - b).

In this case, a = 6 and b^2 is similar to b*b, so we can rewrite the expression as follows:

36 - b^2 = (6)^2 - b^2 = (6 + b)(6 - b).

Therefore, the expression 36 - b^2 can be factored as (6 + b)(6 - b).

б) 0,09 - 16m^2: The expression 0.09 - 16m^2 can be factored using the difference of squares formula, as well as the factoring of a difference of squares with a non-integer coefficient.

First, let's rewrite the expression 0.09 - 16m^2 as (0.3)^2 - (4m)^2:

0.09 - 16m^2 = (0.3)^2 - (4m)^2.

Now, we can factor this expression using the difference of squares formula:

(0.3)^2 - (4m)^2 = (0.3 + 4m)(0.3 - 4m).

Therefore, the expression 0.09 - 16m^2 can be factored as (0.3 + 4m)(0.3 - 4m).