Suriin ang malawak na saklaw ng mga paksa at makakuha ng mga sagot sa IDNStudy.com. Magtanong at makakuha ng detalyadong sagot mula sa aming komunidad ng mga eksperto na may kaalaman.
Answer:
The expansion and simplified form is [tex]-4a^2+19a-12[/tex].
Further Explanation
One of the effective ways to expand when multiplying two binomial terms is by doing the FOIL Method. FOIL has the acronym F for First Terms, O for Outer Terms, I for Inner Terms, and L for Last terms.
Binomial terms/expression are terms that consist of two terms that make an expression.
1. [tex]2x+1[/tex]
2. [tex]a+b[/tex]
3. [tex](2a+b)^2[/tex]
1. The Binomial Theorem
2. The FOIL Method
Solution:
Do the FOIL method to do the expansion of the expression given. Multiply the first terms, outer terms, inner terms, and the last terms, then add all the products.
[tex](4a-3)(-a+4)[/tex]
F - First Terms [tex](4a)(-a)=-4a^2[/tex]
I - Inner Terms [tex](-3)(-a)=3a[/tex]
O - Outer Terms [tex](4a)(4)=16a[/tex]
L- Last Terms [tex](-3)(4)=-12[/tex]
Sum of All the Products:
[tex]\begin{aligned}-4a^2+3a+16a+(-12)=-4a^2+19a-12\end{aligned}[/tex]
The solution shows that the expansion and simplified form of [tex](4a-3)(-a+4)[/tex] is [tex]-4a^2+19a-12[/tex].
#LearnWithBrainly
To learn more examples about multiplying binomials, go to https://brainly.ph/question/86537
To learn other way to expand binomial terms, click the link https://brainly.ph/question/1917806
To learn more about the meaning of FOIL, access the link https://brainly.ph/question/1491047