What is the standard form of y=(4x-2x^{2})(-4x+3)-(x-4)^{3}?

Urdorfs4u

Urdorfs4u

Answered question

2022-02-02

What is the standard form of y=(4x2x2)(4x+3)(x4)3?

Answer & Explanation

Darien Myers

Darien Myers

Beginner2022-02-03Added 12 answers

Explanation:
In order to complete this problem (and make it easier on ourselves), we should split it into two parts. Let's start with the first part, (4x2x2)(4x+3). Using FOIL (First, Outsides, Insides, Last), we can simplify this down:
(4x)(4x)+(4x)(3)+(2x2)(4x)+(2x2)(3)
16x2+12x+8x36x2
We don't need to write this in standard form quite yet as we still have the other half of the equation, (x4)3. The formula for the multiplication of (ab)3 is a3+3a2b+3ab2+b3. Let's use this as a guideline for our multiplication.
(x4)3
x3+(3)(x2)(4)+(3)(x)(4)2+(4)3
x312x2+48x64
Let's now combine our two parts to create one answer:
16x2+12x+8x36x2(x312x2+48x64)
16x2+12x+8x36x2x3+12x248x+64
8x3x316x26x2+12x2+12x48x+64
7x310x236x+64

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