Get the solution to "Find the product of this question: 2x4(3x2+4x+1)"

High School
Algebra
Pre-Algebra
Equations, expressions, and inequalitie

smismSitlougsyy

Answered question

2021-11-30

Find the product of this question:

2 x^{4} (3 x^{2} + 4 x + 1)

Answer & Explanation

Mike Henson

Beginner2021-12-01Added 11 answers

The given expression is
$2 x^{4} (3 x^{2} + 4 x + 1)$
Compute the product of the given expression as follows.
$2 x^{4} (3 x^{2} + 4 x + 1) = (2 x^{4} \cdot 3 x^{2}) + (2 x^{4} \cdot 4 x) + (2 x^{4} \cdot 1) [∵ B y F O I L m e t h o d]$
$= 6 x^{4 + 2} + 8 x^{4 + 1} + 2 x^{4} [b u c a u s e x^{a} \cdot x^{b} = x^{a + b}]$
$= 6 x^{6} + 8 x^{5} + 2 x^{4}$
Thus, the product of the given expression is $6 x^{6} + 8 x^{5} + 2 x^{4}$ .

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