Question

8x^3+343^3+84x^2y+294xy^2 factorize​

Answer 1

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Answer 2

Qᴜᴇsᴛɪᴏɴ :-

factorize :- 8x^3+343y^3+84x^2y+294xy^2

Sᴏʟᴜᴛɪᴏɴ :-

→ 8x³ + 343y³ + 84x²y + 294xy²

→ (2x)³ + (7y)³ + 3 * 4x² * 7y + 3 * 2x * 49y²

→ (2x)³ + (7y)³ + 3 * (2x)² * 7y + 3 * 2x * (7y)²

Comparing it with a³ + b³ + 3a²b + 3ab² , we get,

• a = 2x
• b = 7y

so,

→ a³ + b³ + 3a²b + 3ab²

→ (a + b)³

Therefore,

→ (2x)³ + (7y)³ + 3 * (2x)² * 7y + 3 * 2x * (7y)²

→ (2x + 7y)³

→ (2x + 7y)(2x + 7y)(2x + 7y) (Ans.)