Answer:
Zero
Step-by-step explanation:
In math, an identity is a number, n, that when added to other numbers, gives the same number, n. The additive identity is always zero. This brings us to the identity property of addition, which simply states that when you add zero to any number, it equals the number itself
Answer:
552
Step-by-step explanation:
Answer:
b=-3
Step-by-step explanation:
If the expression simplifies to bx that means the
terms and the constant terms must be cancel out.
Simplify it first.
![(4x+4)(ax-1)-x^{2} +4\\=(4ax^{2} -4x+4ax-4)-x^{2} +4\\=4ax^{2} -x^{2} -4x+4ax-4+4\\=4ax^{2} -x^{2} -4x+4ax](https://tex.z-dn.net/?f=%284x%2B4%29%28ax-1%29-x%5E%7B2%7D%20%2B4%5C%5C%3D%284ax%5E%7B2%7D%20-4x%2B4ax-4%29-x%5E%7B2%7D%20%2B4%5C%5C%3D4ax%5E%7B2%7D%20-x%5E%7B2%7D%20-4x%2B4ax-4%2B4%5C%5C%3D4ax%5E%7B2%7D%20-x%5E%7B2%7D%20-4x%2B4ax)
We know –4 + 4 will cancel out. If we simplify this expression to only an x term, then the
terms should be cancelled. Therefore, we say that 4ax^2 – x^2 = 0.
![4ax^{2} -x^{2} =0\\x^{2} (4a-1)=0\\4a-1=0\\4a=1\\a=\frac{1}{4}](https://tex.z-dn.net/?f=4ax%5E%7B2%7D%20-x%5E%7B2%7D%20%3D0%5C%5Cx%5E%7B2%7D%20%284a-1%29%3D0%5C%5C4a-1%3D0%5C%5C4a%3D1%5C%5Ca%3D%5Cfrac%7B1%7D%7B4%7D)
If we put a = ¼, then we can find the value of b:
![=4(\frac{1}{4} )x^{2} -x^{2} -4x+4(\frac{1}{4} )x\\=x^{2} -x^{2} -4x+x\\ (cancel out x^{2} terms)\\](https://tex.z-dn.net/?f=%3D4%28%5Cfrac%7B1%7D%7B4%7D%20%29x%5E%7B2%7D%20-x%5E%7B2%7D%20-4x%2B4%28%5Cfrac%7B1%7D%7B4%7D%20%29x%5C%5C%3Dx%5E%7B2%7D%20-x%5E%7B2%7D%20-4x%2Bx%5C%5C%20%28cancel%20out%20x%5E%7B2%7D%20terms%29%5C%5C)
![=-3x](https://tex.z-dn.net/?f=%3D-3x)
if the expression is equivalent to bx
Therefore, b = –3.
Answer:
1. -60
2. 32
Step-by-step explanation: