Lawson Reid
02/13/2024 · Primary School
c) \( 12 b^{2} c^{2}-3 b c-5 b^{2} \) d) \( -a x^{2}+7 a^{2} x+2 a x \) e) \( 3 y^{4}-0,2 y^{2}-1+ \) ä) \( -7 a b^{3}+5 a^{2} b^{2}- \) 58. Añlatmalary a) \( 7 x y-10 x-4 x y \) b) \( a^{4}+2 a^{3}-4 a^{4}+ \)
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Step-by-step Solution
Let's simplify the expressions you provided step by step.
### c) \( 12 b^{2} c^{2} - 3 b c - 5 b^{2} \)
To simplify this expression, we can rearrange and combine like terms:
1. Group the terms:
\[
12 b^{2} c^{2} - 5 b^{2} - 3 b c
\]
2. There are no like terms to combine further, so the expression remains:
\[
12 b^{2} c^{2} - 5 b^{2} - 3 b c
\]
### d) \( -a x^{2} + 7 a^{2} x + 2 a x \)
To simplify this expression, we can combine the like terms involving \( x \):
1. Combine \( 7 a^{2} x + 2 a x \):
\[
-a x^{2} + (7 a^{2} + 2 a) x
\]
2. The simplified expression is:
\[
-a x^{2} + (7 a^{2} + 2 a) x
\]
### e) \( 3 y^{4} - 0.2 y^{2} - 1 \)
This expression can be simplified by noting that \( -0.2 y^{2} \) is already in its simplest form:
1. The expression remains:
\[
3 y^{4} - 0.2 y^{2} - 1
\]
### ä) \( -7 a b^{3} + 5 a^{2} b^{2} - \)
It seems like this expression is incomplete, but we can still write it as is:
1. The expression remains:
\[
-7 a b^{3} + 5 a^{2} b^{2}
\]
### 58. Añlatmalary
#### a) \( 7 x y - 10 x - 4 x y \)
To simplify this expression, we can combine like terms:
1. Combine \( 7 x y - 4 x y \):
\[
(7 - 4) x y - 10 x = 3 x y - 10 x
\]
2. The simplified expression is:
\[
3 x y - 10 x
\]
#### b) \( a^{4} + 2 a^{3} - 4 a^{4} + \)
To simplify this expression, we can combine like terms:
1. Combine \( a^{4} - 4 a^{4} \):
\[
(1 - 4) a^{4} + 2 a^{3} = -3 a^{4} + 2 a^{3}
\]
2. The simplified expression is:
\[
-3 a^{4} + 2 a^{3}
\]
If you have any further questions or need additional assistance, feel free to ask!
Quick Answer
c) \( 12 b^{2} c^{2} - 5 b^{2} - 3 b c \)
d) \( -a x^{2} + (7 a^{2} + 2 a) x \)
e) \( 3 y^{4} - 0.2 y^{2} - 1 \)
ä) \( -7 a b^{3} + 5 a^{2} b^{2} \)
58. a) \( 3 x y - 10 x \)
58. b) \( -3 a^{4} + 2 a^{3} \)
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