Question

Записати у вигляді многочлена: (5х + 2у)^2

Answer 1

Ответ:

25х^2+40ху+4у^2

Объяснение:

раскрываем по формуле сокращённого умножения : (х+у)^2=х^2+2ху+у^2

Answer 2

(5x + 2y)^2 can be expanded using the binomial theorem or by applying the distributive property. The square of a binomial follows the pattern:

(a + b)^2 = a^2 + 2ab + b^2

Applying this pattern to (5x + 2y)^2, we get:

(5x + 2y)^2 = (5x)^2 + 2(5x)(2y) + (2y)^2

Simplifying further:

(5x + 2y)^2 = 25x^2 + 20xy + 4y^2

Therefore, the expression (5x + 2y)^2 can be written as the polynomial 25x^2 + 20xy + 4y^2.