Respuesta :

Answer: 11(11+10)−6(6+5)=165.

Step-by-step explanation:

To evaluate the expression 11(11+10)−6(6+5), follow the order of operations (PEMDAS/BODMAS: Parentheses, Exponents, Multiplication and Division, Addition and Subtraction) to simplify:

Start by calculating the expressions within the parentheses:

11+10=21

6+5=11

Substitute the results back into the expression:

11(21)−6(11)

Perform the multiplications:

11×21=231

6×11=66

Substitute the results back into the expression:

231−66

Finally, perform the subtraction:

231−66=165

So, 11(11+10)−6(6+5)=165.

First, we can simplify the expressions inside the parentheses

We have:

[tex]11(11+10)-6(6+5) = 11\cdot21-6\cdot11[/tex]

Applying the distributive property, we get:

[tex]11(21-6)[/tex]

Simplifying, we get:

[tex]11\cdot15[/tex]

Applying the distributive property again, we have:

[tex]11\cdot10+11\cdot5[/tex]

Multiplying and adding, we have our final answer.

[tex]110+55 = \boxed{165}[/tex]

So, the answer is 165.

ACCESS MORE