find the solution (a^2+5) (a^2-4) using the formula (x+a) (x+b) =x^2+(a+b)x+ab
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Answer:
a^4 + a^2 - 20
Step-by-step explanation:
Given,
(a^2+5) (a^2-4)
We know that,
(x+a) (x+b) =x^2+(a+b)x+ab
By applying this identity, we get,
(a^2+5)(a^2-4) =
= (a^2)^2 + (5 - 4)a^2 + 5(-4)
= a^4 + a^2 - 20
Hence, the required answer is = a^4 + a^2 - 20
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