Question

8p³+125q³ factorise:-(bye using the formula

Answer 1

⚘ Identity used:

(a³ + b³) = (a+b)(a²- ab +b²)

⚘ Question:

8p³+125q³

⚘ Answer:

(2p + 5q)(4p² - 10pq + 25q²)

⚘ Step by Step:

• (8p)³ = (2p)³

• (125q)³ = (5q)³

⟹ (a³ + b³) = (a+b)(a²- ab +b²)

⟹ (2p + 5q)( (2p)² - 2p×5q + (5q)²)

⟹ (2p + 5q)(4p² - 10pq + 25q²)

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