Question
Simplify these expressions. Input (©) for \( { }^{2} \) and \( { }^{4} \) for \( { }^{3} \) \[ v \times 7 x= \] \( \square \) [1] \( 2 m x \) \( \square \) - 18 mm \( 9 c \times 6 e= \) \( \square \) [1] \( 5 x \times \) \( \square \) \( -30 x^{2} \) \( 8 a \times 5 a= \) \( \square \) [1] \( 4 w x \) \( \square \) \( -16 w^{2} x \) \( 5 x w \times 2 w= \) \( \square \) [1] \( 5 c \times \) \( \square \) \( -30 a c^{3} \) \( 7 m n \times 7 m^{2} n= \) \( \square \) (1) \( \square \) \( \times 3 w^{2} x=15 w^{3} x^{3} \) \[ 4 a c x \times 5 a x^{2} \times 6 c= \] \( \square \) [2] \( \square \) \( \times 4 a c^{2} e^{3}-20 a^{3} c^{3} e^{3} \) [2]
Ask by Clark Gibson. in Switzerland
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Här är de förenklade uttrycken:
1. \( v \times 7 x = 7vx \)
2. \( 9 c \times 6 e = 54ec \)
3. \( 8 a \times 5 a = 40a^{2} \)
4. \( 5 x w \times 2 w = 10xw^{2} \)
5. \( 7 m n \times 7 m^{2} n = 49m^{3}n^{2} \)
6. \( 4 a c x \times 5 a x^{2} \times 6 c = 120a^{2}c^{2}x^{3} \)
Solution
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The Deep Dive
When simplifying the expression \( v \times 7 x \), you simply multiply the coefficients and keep the variable. So, it translates to \( 7vx \). Fun fact: the distributive property is your friend when dealing with any coefficients! Next up, consider \( 4 a c x \times 5 a x^{2} \times 6 c \). First, multiply the coefficients: \( 4 \times 5 \times 6 = 120 \). Then combine the variables: \( a^2 c^2 x^3 \). Putting it all together gives you \( 120 a^{2} c^{2} x^{3} \). And voila, you’ve simplified like a pro!
