using suitable identify,find the proct of the following : (2a²+9)(2a²+5)
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Step-by-step explanation:
Given, (2a
2
+9)(2a
2
+5).
We know, (x+a)(x+b)=x
2
+(a+b)x+ab.
On comparing, we get,
x=2a
2
,a=9,b=5.
Thus,
(2a
2
+9)(2a
2
+5)
=(2a
2
)
2
+(9+5)2a
2
+(9)×(5)
=4a
2
+(14)2a
2
+45
=4a
4
+28a
2
+45.
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