3. Ada thafollowing : (a) $$ 4 x-2 y+z-3 x+2 y-5=2 x-6 y-9= $$ (c) $$ 5 x^{2}-6 x y+9 y^{2}-4 x^{2} 3,7 x y-4 y^{2}+7 x^{2} y-3 x^{2}, 7 y^{2}+4 x^{2}-x y+3 x+y $$ (1) $$ a^{3}-4 a^{2}+7 a+3,2 a^{2}-4 a^{3}+4-13 a, 8 a^{3}+3 a^{2}-9 a+1 $$ (e) $$ a^{3}-b^{3}+c^{3}-2 a b c,-a^{3}+b^{3}+c^{3}-6 a b c, a^{3}-b^{3}+c^{3}+9 a b c $$ (t) $$ -q+p-2 p^{2}+8 p^{3}-9-6 p+3 p^{2}-8 p^{3} \cdot \frac{5 p^{3}-3 p^{2}+8,24}{} 4 p^{2}+11 p-3 p p^{2} $$ Subtract:

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UpStudy AI · Accepted Answer

Let's break down the problem step by step. It seems like you have several expressions that you want to subtract. I'll clarify each part and then perform the necessary calculations.

### Part (a)
You have the expression:
$$
4x - 2y + z - 3x + 2y - 5 = 2x - 6y - 9
$$
Let's simplify the left side first.

1. Combine like terms on the left side:
   $$
   (4x - 3x) + (-2y + 2y) + z - 5 = x + z - 5
   $$
   So, the left side simplifies to $$x + z - 5$$.

2. Now, we set the simplified left side equal to the right side:
   $$
   x + z - 5 = 2x - 6y - 9
   $$

### Part (c)
You have the expression:
$$
5x^2 - 6xy + 9y^2 - 4x^2 + 3.7xy - 4y^2 + 7x^2y - 3x^2 + 7y^2 + 4x^2 - xy + 3x + y
$$
Let's simplify this expression.

1. Combine like terms:
   - For $$x^2$$: $$5x^2 - 4x^2 - 3x^2 + 4x^2 = 2x^2$$
   - For $$xy$$: $$-6xy + 3.7xy - xy = -3.3xy$$
   - For $$y^2$$: $$9y^2 - 4y^2 + 7y^2 = 12y^2$$
   - For $$x^2y$$: $$7x^2y$$
   - For $$x$$: $$3x$$
   - For $$y$$: $$y$$

So, the simplified expression is:
$$
2x^2 - 3.3xy + 12y^2 + 7x^2y + 3x + y
$$

### Part (1)
You have the expression:
$$
a^3 - 4a^2 + 7a + 3 - 2a^2 + 4a^3 - 13a + 8 - 8a^3 + 3a^2 - 9a + 1
$$
Let's simplify this expression.

1. Combine like terms:
   - For $$a^3$$: $$a^3 + 4a^3 - 8a^3 = -3a^3$$
   - For $$a^2$$: $$-4a^2 - 2a^2 + 3a^2 = -3a^2$$
   - For $$a$$: $$7a - 13a - 9a + 3a = -12a$$
   - Constant terms: $$3 + 8 + 1 = 12$$

So, the simplified expression is:
$$
-3a^3 - 3a^2 - 12a + 12
$$

### Part (e)
You have the expression:
$$
a^3 - b^3 + c^3 - 2abc - (-a^3 + b^3 + c^3 - 6abc) + (a^3 - b^3 + c^3 + 9abc)
$$
Let's simplify this expression.

1. Distributing the negative sign:
   $$
   a^3 - b^3 + c^3 - 2abc + a^3 - b^3 - c^3 + 6abc + a^3 - b^3 + c^3 + 9abc
   $$

2. Combine like terms:
   - For $$a^3$$: $$a^3 + a^3 + a^3 = 3a^3$$
   - For $$b^3$$: $$-b^3 - b^3 - b^3 = -3b^3$$
   - For $$c^3$$: $$c^3 - c^3 + c^3 = c^3$$
   - For $$abc$$: $$-2abc + 6abc + 9abc = 13abc$$

So, the simplified expression is:
$$
3a^3 - 3b^3 + c^3 + 13abc
$$

### Part (t)
You have the expression:
$$
-q + p - 2p^2 + 8p^3 - 9 - 6p + 3p^2 - 8p^3 \cdot \frac{5p^3 - 3p^2 + 8}{4p^2 + 11p - 3pp^2}
$$
Let's simplify this expression.

1. Combine like terms:
   - For $$p$$: $$p - 6p = -5p$$
   - For $$p^2$$: $$-2p^2 + 3p^2 = p^2$$
   - For constants: $$-q - 9$$

So, the simplified expression is:
$$
-q - 9 - 5p + p^2
$$

### Final Result
Now, we have simplified all parts. If you need to perform any specific operations (like subtraction) between these simplified expressions, please specify which parts you want to subtract from each other.
Here are the simplified expressions: (a) $$ x + z - 5 = 2x - 6y - 9 $$ (c) $$ 2x^2 - 3.3xy + 12y^2 + 7x^2y + 3x + y $$ (1) $$ -3a^3 - 3a^2 - 12a + 12 $$ (e) $$ 3a^3 - 3b^3 + c^3 + 13abc $$ (t) $$ -q - 9 - 5p + p^2 $$

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