Question

Представить в виде многочлена1) (4-y)^2 2)(a+1/2b)^23)(0,2x-10y)^2​

Answer 1

Ответ:

Объяснение:

1) 16 - 8y + y²

2) a² + ab + 1/4b²

3) 0,04x² - 4xy + 100y²

Answer 2

1. (4 - y)^2

To expand this expression, we can use the formula for squaring a binomial, which is (a - b)^2 = a^2 - 2ab + b^2.

In this case, a = 4 and b = y. Plugging in these values, we get:

(4 - y)^2 = 4^2 - 2(4)(y) + y^2 = 16 - 8y + y^2

So the expression (4 - y)^2 can be expanded as the polynomial 16 - 8y + y^2.

2. (a + (1/2)b)^2

Using the same formula for squaring a binomial, where a = a and b = (1/2)b, we have:

(a + (1/2)b)^2 = a^2 + 2(a)((1/2)b) + ((1/2)b)^2 = a^2 + ab + (1/4)b^2

Thus, the expression (a + (1/2)b)^2 can be expanded as the polynomial a^2 + ab + (1/4)b^2.

3. (0.2x - 10y)^2

Similarly, using the formula for squaring a binomial with a = 0.2x and b = 10y:

(0.2x - 10y)^2 = (0.2x)^2 - 2(0.2x)(10y) + (10y)^2 = 0.04x^2 - 4xy + 100y^2

Hence, the expression (0.2x - 10y)^2 can be expanded as the polynomial 0.04x^2 - 4xy + 100y^2.