Can someone point me in the right direction on how to solve this problem?
Which algebraic expression is equivalent to the expression?
-4(2x + 5)2
[-4*2(2x+5)]
-8(2x+5).....now just expand
Nope. This is an example of poor notation. What he means is
-4(2x + 5)^2
but doesn't know how to write it. You'll see this often here.
So, to expand that we have
-4((2x)^2 + 2*2x*5 + 5^2)
= -4(4x^2+20x+25)
= -16x^2 - 80x - 100
Sure! To solve this problem, you need to apply the distributive property and simplify the expression.
Let's break it down step by step:
1. Start by applying the distributive property: Multiply -4 by each term inside the parentheses.
-4 * 2x = -8x
-4 * 5 = -20
2. Now, rewrite the expression using the results from step 1:
-8x - 20
So, the algebraic expression that is equivalent to -4(2x + 5)^2 is -8x - 20.