Question

13×(2a+c)+8×(2a-c)=========

Answer 1

$\displaystyle\mathtt{13(2a+c)+8(2a-c) =26a+13c+16a-8c=}}\\ \\ =(26a+16a)+(13c-\displaystyle\mathtt{8c)=}\boldsymbol{42a+5c;} \\ \\ \\ \displaystyle\mathtt{OTBET: 42a+5c}$

Answer 2

To simplify the expression 13×(2a+c)+8×(2a-c), we can apply the distributive property and combine like terms. Let's break it down step by step:

First, distribute the multiplication:

13 × (2a + c) + 8 × (2a - c) = 26a + 13c + 16a - 8c

Next, combine like terms:

26a + 16a + 13c - 8c = (26a + 16a) + (13c - 8c) = 42a + 5c

Therefore, the simplified form of the expression 13×(2a+c)+8×(2a-c) is 42a + 5c.