Question

Сократите дробь: 1)(3х+6у)^2\5х+10у= 2)15a-20b\10a=

Answer 1

1) (3(x+2y))^2/(5(x+2y))=9(x+2y)^2/(5(x+2y))=

числитель и знаменатель сокращаю на x+2y

=9(x+2y)/5=1.8(x+2y)

2)5(3a-4b)/(5*2a)=(3a-4b)/(2a)=1.5-2b/a

Answer 2

To simplify the given expressions, let's work on each one separately:

1. Simplify the expression: (3x + 6y)^2 / (5x + 10y)

Step 1: Factor the numerator, which is a perfect square. (3x + 6y)^2 = (3(x + 2y))^2 = 9(x + 2y)^2

Step 2: Simplify the expression. (3x + 6y)^2 / (5x + 10y) = 9(x + 2y)^2 / (5(x + 2y))

That's the simplified expression.

2. Simplify the expression: (15a - 20b) / (10a)

Step 1: Factor out the greatest common divisor from the numerator. The greatest common divisor of 15a and 20b is 5a.

Step 2: Simplify the expression. (15a - 20b) / (10a) = 5a(3 - 4b) / (10a)

Step 3: Cancel out the common factor "a." (15a - 20b) / (10a) = (3 - 4b) / 2

That's the simplified expression.