Write out all the pairs of numbers which can be multiplied to produce c.
Add each pair of numbers to find a pair that produce b when added. ...
If b > 0, then the factored form of the trinomial is (x + d )(x + e). ...
Check: The binomials, when multiplied, should equal the original trinomial.
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The result is
9
a
2
−
16
The reason is the following:
The problem is an example of a notable product: "the sum multiplied by the diference is equal to the difference of squares", that is to say:
(
a
+
b
)
⋅
(
a
−
b
)
=
a
2
−
b
2
.
By applying this to our question, we obtain that:
(
3
a
−
4
)
⋅
(
3
a
+
4
)
=
(
3
a
)
2
−
(
4
)
2
=
9
a
2
−
16
.
Answer:
9.45+189=198.45
Step-by-step explanation: