20a¹²b² - 15a⁸b⁴ factorise it and please write the explanation.
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20a¹²b²
- 15a⁸b⁴
_________
5 a⁴ b‐²
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16
Answer:
Question :-
➪ 20a¹²b² - 15a⁸b⁴
Solution :-
➪ 20a¹²b² - 15a⁸b⁴
➭ (2 × 2 × 5 × a¹² × b² - 3 × 5 × a⁸ × b⁴)
➭ 5a⁸b²(4a⁴ - 3b²) [ Taking 5a⁸b² common ]
➭ 5a⁸b²(4a⁴ - 3b²)
∴ The value of 20a¹²b² - 15a⁸b⁴ is 5a⁸b²(4a⁴ - 3b²)
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