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