When simplifying the expression 4((8x+2x)2)−53 , what is the coefficient of the variable after the first step?

Answer 1

To simplify the expression, we need to follow the order of operations, which is parentheses first, then exponents, then multiplication/division from left to right, and finally addition/subtraction from left to right.

First, we simplify the expression within the inner parentheses:
8x + 2x = 10x

Now we rewrite the expression with the simplified inner parentheses:
4(10x^2) - 53

Now we apply the next step, which is to simplify the exponent:
10x^2 = 10*x*x = 10x^2

Now we rewrite the expression with the simplified exponent:
4(10x^2) - 53

Finally, we apply the next step, which is to simplify the multiplication:
4 * 10x^2 = 40x^2

Now we rewrite the expression with the simplified multiplication:
40x^2 - 53

The coefficient of the variable after the first step is 40.