Question

6. Which of the following are the factors of a2 + ab +bc + ca
(i) (b + c) (c + a)
(ii) (a + b) (a + c)
(iii) a(a + b + c)
(iv) (a + b) (b + c)

Answer 1

Given :

• a² + ab + bc + ca

To find :

• Factors of a² + ab + bc + ca

Solution :-

→ a² + ab + bc + ca

• Rearranging

→ a² + ab + ac + bc

• Take common

→ a(a + b) + c(a + b)

→ (a + b)(a + c)

(a + b)(a + c) are the factors of a² + ab + bc + ca

• •°• Correct option is (ii)

Focus Zone :

★ (a + b)² = a² + b² + 2ab

★ a² - b² = (a + b)(a - b)

★ a³ - b³ = (a - b)(a² + ab + b²)

★ a³ + b³ = (a + b)(a² - ab + b²)

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Answer 2

I hope it helps all.

Thanks

#Radha krishna