Question

(7х+10у)(10у-7х) ???????​

Answer 1

Объяснение:

(7х+10у)(10у-7х) = (10у + 7х)(10у - 7х) =

По формуле (а - b)(а + b) = а² - b² = 100у² - 49х²

Answer 2

Ответ:

100y² - 49x²

Объяснение:

(7х+10у)(10у-7х) = 100y² - 49x²

Answer 3

To multiply the expressions (7x + 10y) and (10y - 7x), you can use the distributive property (also known as the FOIL method for binomials). Here's how you can do it step by step:

(7x + 10y)(10y - 7x)

1. Multiply the first terms of each binomial: (7x) * (10y) = 70xy

2. Multiply the first term of the first binomial by the second term of the second binomial: (7x) * (-7x) = -49x^2

3. Multiply the second term of the first binomial by the first term of the second binomial: (10y) * (10y) = 100y^2

4. Multiply the second terms of each binomial: (10y) * (-7x) = -70xy

Now, combine these results:

70xy - 49x^2 + 100y^2 - 70xy

Notice that the 70xy and -70xy terms cancel each other out, leaving you with:

-49x^2 + 100y^2

So, the product of (7x + 10y) and (10y - 7x) is -49x^2 + 100y^2.