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spin [16.1K]
3 years ago
6

Directions: Use the product rule to simplify the following monomials.

Mathematics
2 answers:
statuscvo [17]3 years ago
5 0

Step-by-step explanation:

Multiply everything in the parenthesis.

24. (2xy)( -4x²) + (6x)(6x²y)

---> -8x³y + 36x³y

= 28x³y

25. (2ab²)(4a²b³) - (10a³b)(6b⁴)

---> 8a³b^5 - 60a³b^5

= -52a³b^5

Sorry, i cant turn the 5 into an exponent on my phone lol. but i hope this helps.

horrorfan [7]3 years ago
5 0

<u>Question :</u>

❖ Use the product rule to simplify the following monomials.

<u>Answers :</u>

24. (2xy)( -4x²) + (6x)(6x²y)

\tt =  (2xy)( -4x²) + (6x)(6x²y) \\  \tt = ( - 8 {x}^{3} y) + 36 {x}^{3} y \\  \tt = 28 {x}^{3} y \:  \:  \:  \:  \:  \:  \\  \\  \\

25. (2ab²)(4a²b³) - (10a³b)(6b⁴)

\tt =  (2ab²)(4a²b³) - (10a³b)(6b⁴) \\  \tt = 8 {a3}^{2}  {b}^{5 }  - 60 {a}^{3} {b}^{5 }  \:  \:  \:  \:  \:  \:  \\  \tt =  - 52 {a}^{3} {b}^{5 } \:  \:  \:  \\  \\  \\

<h3>Hope it helps you :D</h3>

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marin [14]

i. 171

ii. 162

iii. 297

Solution,

n(U)= 630

n(I)= 333

n(T)= 168

i. Let n(I intersection T ) be X

333 - x + x + 468 - x = 630 \\ or \: 333 + 468 - x = 630 \\ or \: 801 - x = 630 \\ or \:  - x = 630 - 801 \\ or \:  - x =  - 171 \\ x = 171

<h3>ii.n(only I)= n(I) - n(I intersection T)</h3><h3> = 333 - 171</h3><h3> = 162</h3>

<h3>iii. n ( only T)= n( T) - n( I intersection T)</h3><h3> = 468 - 171</h3><h3> = 297</h3>

<h3>Venn- diagram is shown in the attached picture.</h3>

Hope this helps...

Good luck on your assignment...

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