Write -2x^2(-5x2+4x^3) in standard form.
A) -8x^5-20x^4
B) -8x^5+10x^4
C) -7x+2x^4
D) -7x^5-10x^4
well, (-2x^2)(-5x^2) = 10x^4
Only one choice has that, so ...
Note that standard form list the powers in decreasing order.
To simplify the expression -2x^2(-5x^2+4x^3) and write it in standard form, we can follow these steps:
Step 1: Distribute -2x^2 to each term inside the parentheses:
-2x^2 * -5x^2 = 10x^4
-2x^2 * 4x^3 = -8x^5
Step 2: Combine the two terms obtained:
10x^4 - 8x^5
Therefore, when we write -2x^2(-5x^2+4x^3) in standard form, we get:
B) -8x^5+10x^4
To rewrite -2x^2(-5x^2+4x^3) in standard form, we need to multiply both terms by -2x^2.
First, let's distribute -2x^2 to each term inside the parentheses:
-2x^2 * -5x^2 = 10x^4
-2x^2 * 4x^3 = -8x^5
Therefore, the expression becomes:
-8x^5 + 10x^4
So, the answer is B) -8x^5 + 10x^4.