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

Question :

❖ Use the product rule to simplify the following monomials.

Answers :

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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3 years ago

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For a better understanding of the solution given here please find the attached file which has the relevant diagram.

To answer this question we will have to make use of the Isosceles Triangle Theorem which states that the perpendicular bisector of the base of an isosceles triangle is also the angle bisector of the vertex angle. Thus, as a corollary we know that is EF is the angle bisector of the vertex angle ∠E, then, EF is the perpendicular bisector of the of the base DK.

Please follow the diagram of a complete understanding of the logic and the solution.

As EF is the angle bisector as given in the question, thus we will have:

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