-(4x%2B3).jpeg "(4x3-x2-11x+1) (4x+3)")
Expanding and Simplifying Algebraic Expressions: (4x3-x2-11x+1) (4x+3)
In algebra, we often come across expressions that involve the product of two binomials. In this article, we will explore the expansion and simplification of the expression (4x3-x2-11x+1) (4x+3).
Step 1: Expand the Expression
To expand the expression, we need to multiply each term in the first binomial with each term in the second binomial.
(4x3-x2-11x+1) (4x+3) =
4x3(4x) + 4x3(3) - x2(4x) - x2(3) - 11x(4x) - 11x(3) + 1(4x) + 1(3)
= 16x4 - 4x3 - 4x3 + 3x2 + 44x2 - 33x - 4x + 3
Step 2: Combine Like Terms
Next, we need to combine like terms to simplify the expression.
= 16x4 - 8x3 + 47x2 - 37x + 3
Simplified Expression
The simplified expression is 16x4 - 8x3 + 47x2 - 37x + 3.
Conclusion
In this article, we have expanded and simplified the expression (4x3-x2-11x+1) (4x+3). We have seen how to multiply two binomials and combine like terms to get the simplified expression. This skill is essential in algebra and is used extensively in various mathematical problems.
