m(mx+my)2+mn(mx+my)+n(mx+my)
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Given
m(mx+my)²+mn(mx+my)+n(mx+my)
Solution
= m(mx+my)²+mn(mx+my)+n(mx+my)
Take (mx + my) as a common
= (mx +my) [m(mx+my) + mn + n]
= (mx + my) [m²x + m²y + mn + n]
Important identities
- (a+b)² = a² + b² + 2ab
- (a-b)² = a² + b² - 2ab
- (a+b)³ = a³ + b³ + 3ab(a+b)
- (a-b)³ = a³ - b³ - 3ab(a-b)
- a² - b² = (a+b)(a-b)
- a³ - b³ = (a-b)(a²+ab+b²)
- a³ + b³ = (a+b)(a² -ab +b²)
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