Question

A^4-5a^2-36 factorization

Answer 1

Answer:

a⁴-5a²-36=

a⁴-5a²-36=(a+3)(a-3)(a²+4)

Step-by-step explanation:

a⁴-5a²-36

/* Splitting the middle term we get

= a⁴-9a²+4a²-36

= a²(a²-9)+4(a²-9)

= (a²-9)(a²+4)

= (a²-3²)(a²+4)

= (a+3)(a-3)(a²+4)

/* By algebraic identity:

x²-y² = (x+y)(x-y)*/

Therefore,

a⁴-5a²-36=

(a+3)(a-3)(a²+4)

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