Hardy Burgess
03/20/2023 · Middle School
a) \( 7 x y-10 x-4 x y+ \) b) \( a^{4}+2 a^{3}-4 a^{4}+ \) c) \( 10 m n^{2}-5 m^{2} n- \) d) \( 12 b c^{2}-3 b^{3}-6 \) e) \( 2 x^{6}+4 x^{3}-x^{5} \) a) \( 8 a b^{4}+3 a^{2} b^{2} \)
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
It looks like you have a series of algebraic expressions that you want to simplify or combine. Let's simplify each expression step by step.
a) \( 7xy - 10x - 4xy \)
Combine like terms:
\[
(7xy - 4xy) - 10x = 3xy - 10x
\]
b) \( a^{4} + 2a^{3} - 4a^{4} \)
Combine like terms:
\[
(1a^{4} - 4a^{4}) + 2a^{3} = -3a^{4} + 2a^{3}
\]
c) \( 10mn^{2} - 5m^{2}n \)
This expression cannot be simplified further as there are no like terms. So, it remains:
\[
10mn^{2} - 5m^{2}n
\]
d) \( 12bc^{2} - 3b^{3} - 6 \)
This expression also cannot be simplified further as there are no like terms. So, it remains:
\[
12bc^{2} - 3b^{3} - 6
\]
e) \( 2x^{6} + 4x^{3} - x^{5} \)
Rearranging the terms gives:
\[
2x^{6} - x^{5} + 4x^{3}
\]
This expression cannot be simplified further as there are no like terms.
f) \( 8ab^{4} + 3a^{2}b^{2} \)
This expression cannot be simplified further as there are no like terms. So, it remains:
\[
8ab^{4} + 3a^{2}b^{2}
\]
If you have any specific operations you want to perform on these expressions, please let me know!
Quick Answer
a) \( 3xy - 10x \)
b) \( -3a^{4} + 2a^{3} \)
c) \( 10mn^{2} - 5m^{2}n \)
d) \( 12bc^{2} - 3b^{3} - 6 \)
e) \( 2x^{6} - x^{5} + 4x^{3} \)
f) \( 8ab^{4} + 3a^{2}b^{2} \)
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