Answer:
After subtracting [tex]-7a^2+3a-9[/tex] from [tex]5a^2-6a-4[/tex], the answer is:
[tex]12a^2-9a+5[/tex]
Step-by-step explanation:
The given expressions are:
Expression 1: [tex]-7a^2+3a-9[/tex]
Expression 2: [tex]5a^2-6a-4[/tex]
According to the question, expression 1 has to be subtracted from expression 2.
Writing it mathematically,
[tex]expression\ 2 - expression\ 1 = (5a^2-6a-4)-(-7a^2+3a-9)[/tex]
The minus between both expression, when solved, will change the signs of the terms in expression 1
So,
[tex]= 5a^2-6a-4+7a^2-3a+9[/tex]
Combining alike terms(i.e. combining squared terms together and similarly linear and constant terms)
[tex]=5a^2+7a^2-6a-3a-4+9\\=12a^2 -9a +5[/tex]
After subtracting [tex]-7a^2+3a-9[/tex] from [tex]5a^2-6a-4[/tex], the answer is:
[tex]12a^2-9a+5[/tex]
