Answer:
The middle term of the product of (5a - 7)(2a - 1). is -19.
Step-by-step explanation:
Given : (5a - 7)(2a - 1)
We have to find the middle term of the product of (5a - 7)(2a - 1).
Consider the given expression (5a - 7)(2a - 1).
Multiply each term of first bracket with each term of second bracket as , \(\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd\),
we get,
\(=5a\cdot \:2a+5a\left(-1\right)+\left(-7\right)\cdot \:2a+\left(-7\right)\left(-1\right)\)
Apply Plus- minus rule, \(+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab\) , we get,
\(=5\cdot \:2aa-5\cdot \:1\cdot \:a-7\cdot \:2a+7\cdot \:1\)
On simplifying ,we get,
\(=10a^2-19a+7\)
Thus, the middle term of the product of (5a - 7)(2a - 1). is -19.
