Question

(3a+b)(a-2a)+(2a+b)(a-5b)

Answer 1

(3а+b)(a-2a)+(2a+b)(a-5b)=3×2+2×5=16ab

Answer 2

Let's simplify the given expression step by step:

Expression: (3a + b)(a - 2a) + (2a + b)(a - 5b)

1. Simplify the first term: (3a + b)(a - 2a) Distribute: 3a(a) + 3a(-2a) + b(a) + b(-2a) Simplify: 3a^2 - 6a^2 + ab - 2b

2. Simplify the second term: (2a + b)(a - 5b) Distribute: 2a(a) + 2a(-5b) + b(a) + b(-5b) Simplify: 2a^2 - 10ab + ab - 5b^2

Now add the two simplified terms together:

(3a^2 - 6a^2 + ab - 2b) + (2a^2 - 10ab + ab - 5b^2)

Combine like terms:

-3a^2 - 8ab - 5b^2

So, the simplified form of the expression is -3a^2 - 8ab - 5b^2.