Answer :
The simplified form of the given equation 4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6 is [tex]27x^{2} + 37x - 38[/tex].
The branch of mathematics that deal with the study of mathematical symbols and the rules for manipulating those symbols is known as Algebra. Elementary Algebra, Abstract Algebra, Advanced Algebra, Linear Algebra, and Commutative Algebra are sub-branches of Algebra.
Algebra forms the basis for advanced studies in many fields, including science, mathematics, medicine, engineering, and economics.
The given equation is 4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6. The step wise simplification of this algebraic equation is as follows :
4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6
= (12x - 8)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6
= [tex]24x^{2} - 16x + 48x - 32 + 3x^{2} + 5x -6[/tex]
= [tex]27x^{2} + 37x -38[/tex]
The simplified form of the given equation 4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6 is [tex]27x^{2} + 37x - 38[/tex].
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