friends plz help me with this question factorize a^7 +ab^6
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GIVEn
a^7 +ab^6
Factories it
SOLUTIOn
→ a^7 + ab^6
❖ Take a as common
→ a(a^6 + b^6)
→ a[(a²)³ + (b²)³]
❖ Applying identity :
a³ + b³ = (a + b)(a² - ab + b²)
→ a[{a² + b²}{(a²)² + a²×b² + (b²)²}]
→ a[(a² + b²)(a⁴ + a²b² + b⁴)]
SOMe IDENTITIEs
- (a + b)² = a² + b² + 2ab
- (a - b)² = a² + b² -2ab
- a² - b² = (a + b)(a - b)
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