Question

4. Factorize aº +bº and prove that its value is zero if a4 +64 = a_b2.​

Answer 1

Answer:

8(a−2b)

2

−2a+4b−1

⇒8(a−b)

2

−2(a−2b)−1

⇒ Take a−2b=x

∴8x

2

−2x−1

⇒8x

2

−4x+2x−1

⇒4x(2x−1)+1(2x−1)

⇒(4x+1)(2x−1)

∴(4(a−2b)+1)(2(a−2b)−1)

⇒(4a−8b+1)(2a−4b−1).

Step-by-step explanation:

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