The first row multiplication of
and
results in
.
To multiply the two polynomials
and (2x - 5), we can use the distributive property. This property states that for any numbers a, b, and c:
(a + b) * c = a * c + b * c.
In this case, the first polynomial
will be multiplied by each term of the second polynomial
.
First, we multiply each term of the first polynomial by the first term of the second polynomial, which is 2x:
*
=
+
+
+
.
This simplifies to:
.
Next, we multiply each term of the first polynomial by the second term of the second polynomial, which is -5:
* -5 =
+
+
+
This simplifies to:
Finally, we add the results of these two multiplications together:
Combining like terms gives us the final result:
So the multiplication of
and
results in