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 , [tex]\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd[/tex],
we get,
[tex]=5a\cdot \:2a+5a\left(-1\right)+\left(-7\right)\cdot \:2a+\left(-7\right)\left(-1\right)[/tex]
Apply Plus- minus rule, [tex]+\left(-a\right)=-a,\:\:\left(-a\right)\left(-b\right)=ab[/tex] , we get,
[tex]=5\cdot \:2aa-5\cdot \:1\cdot \:a-7\cdot \:2a+7\cdot \:1[/tex]
On simplifying ,we get,
[tex]=10a^2-19a+7[/tex]
Thus, the middle term of the product of (5a - 7)(2a - 1). is -19.
