-(82-2x31).jpeg "(7x32-1) (82-2x31)")
Simplifying Algebraic Expressions: (7x32-1) (82-2x31)
In algebra, simplifying expressions is an essential skill to master. In this article, we will explore how to simplify the expression (7x32-1) (82-2x31).
Expanding the Expression
To simplify the expression, we need to expand the product of the two binomials. Using the distributive property, we get:
(7x32-1) (82-2x31) = 7x32(82) - 7x32(2x31) - 1(82) + 1(2x31)
Simplifying the Terms
Now, let's simplify each term:
7x32(82) = 5744x32-7x32(2x31) = -1092x63-1(82) = -821(2x31) = 2x31
Combining Like Terms
Next, we combine like terms:
5744x32 - 1092x63 - 82 + 2x31
Simplifying Further
We can simplify the expression further by combining the x terms:
5744x32 - 1092x63 + 2x31 = (5744 - 1092x31)x32 + 2x31 - 82
Final Simplified Expression
The final simplified expression is:
(4632 - 1092x31)x32 + 2x31 - 82
In this article, we have successfully simplified the expression (7x32-1) (82-2x31). By expanding the product of the two binomials and combining like terms, we were able to simplify the expression into a more compact form.
