Question

(5a-a)(5+a) (7x+10y)(10y-7x) Решительно пож

Answer 1

25a+5a^2-5a-a^2=20a+5a^2=5(4+a^2)

Answer 2

Solving the Expression

To solve the given expression, we will first simplify each term and then combine like terms.

The given expression is: (5a-a)(5+a) + (7x+10y)(10y-7x).

Simplifying the Expression

1. (5a-a)(5+a): - Factor out 'a' from the first two terms: a(5-1). - The simplified expression becomes: 4a(5+a).

2. (7x+10y)(10y-7x): - Apply the distributive property: 7x(10y) + 7x(-7x) + 10y(10y) + 10y(-7x). - Simplify each term: 70xy - 49x^2 + 100y^2 - 70xy. - Combine like terms: -49x^2 + 100y^2.

Combining Like Terms

Now, we can combine the simplified expressions: 4a(5+a) + (-49x^2 + 100y^2).

Final Simplified Expression

The final simplified expression is: 4a(5+a) - 49x^2 + 100y^2.

Therefore, the simplified form of the given expression is 4a(5+a) - 49x^2 + 100y^2.