Answered

Explore Westonci.ca, the leading Q&A site where experts provide accurate and helpful answers to all your questions. Our Q&A platform offers a seamless experience for finding reliable answers from experts in various disciplines. Discover detailed answers to your questions from a wide network of experts on our comprehensive Q&A platform.

simplify
2a - 5a(3 - 4a)

Sagot :

Answer:

[tex]12a^2-9a[/tex]

Step-by-step explanation:

FOIL Method

Recall the FOIL method that's used when two factors that are each the sums/differences of two terms, are being multiplied to each other.

  • The first terms of the left and rightmost factors are multiplied together

(the leftmost terms in each factor)

  • The outer term of the leftmost factor is multiplied by the rightmost's outer term

(the leftmost term of the left factor and the rightmost term of the right factor)

  • The inner term of the leftmost factor is multiplied by the rightmost's inner term

(the rightmost term of the left factor and the leftmost of the right factor)

  • The last terms of the left and rightmost factors are multiplied together

(the rightmost terms in each factor)

After all terms are multiplied with each other they are added and simplified for a final answer.

----------------------------------------------------------------------------------------------------------

Applying the Method

  • The first terms of the given problem are 2a and 3, that gives us 6a.
  • The outer terms are 2a and -4a, that gives [tex]\rm -8a^2[/tex]
  • The inner terms are -5a and 3, that gives -15a
  • The last terms are -5a and -4a, that gives [tex]\rm 20a^2[/tex]

When multiplying terms, elements that are alike (i.e. [tex]\rm a[/tex] terms and integers), are multiplied together before they each multiply together ("joining" together without a space).

Adding and simplifying the multiplied terms our final answer is,

[tex]\rm 6a-8a^2-15a+20a^2\\\\\implies-9a+12a^2\:or\: \boxed{12a^2-9a}[/tex].

View image zarahaider4211
We appreciate your visit. Hopefully, the answers you found were beneficial. Don't hesitate to come back for more information. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We're glad you visited Westonci.ca. Return anytime for updated answers from our knowledgeable team.