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Which of the following are the factors of a2 + ab +bc + ca
- a)(a + b) (a + c)
- b)(a + b + c)
- c)(a + b) (b + c)
- d)(b + c) (c + a)
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
Which of the following are the factors of a2 + ab +bc + caa)(a + b) (a...
Factors of a2 + ab + bc + ca
• Step 1: Factor out common terms
Given expression: a2 + ab + bc + ca
= a(a + b) + c(b + a)
= a(a + b) + c(a + b)
• Step 2: Factor by grouping
= (a + c)(a + b)
Therefore, the factors of a2 + ab + bc + ca are (a + c)(a + b).
• Step 1: Factor out common terms
Given expression: a2 + ab + bc + ca
= a(a + b) + c(b + a)
= a(a + b) + c(a + b)
• Step 2: Factor by grouping
= (a + c)(a + b)
Therefore, the factors of a2 + ab + bc + ca are (a + c)(a + b).
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Which of the following are the factors of a2 + ab +bc + caa)(a + b) (a...
Factors of a2 ab bc ca
To find the factors of a2 ab bc ca, we need to factor out the common terms from all the terms. In this case, the common term is 'a'. So, we can write:
a2 ab bc ca = a(a b c + b c a)
Now, we need to factor the expression inside the parentheses. We can see that it contains two terms, 'abc' and 'bca', which have a common factor of 'bc'. So, we can write:
a(a b c + b c a) = a(bc(a + c))
Finally, we can factor out the common factor of 'a' and 'bc', which gives us:
a(bc(a + c)) = ab(a + c) ac(a + c)
Therefore, the factors of a2 ab bc ca are (a b) (a c).
To find the factors of a2 ab bc ca, we need to factor out the common terms from all the terms. In this case, the common term is 'a'. So, we can write:
a2 ab bc ca = a(a b c + b c a)
Now, we need to factor the expression inside the parentheses. We can see that it contains two terms, 'abc' and 'bca', which have a common factor of 'bc'. So, we can write:
a(a b c + b c a) = a(bc(a + c))
Finally, we can factor out the common factor of 'a' and 'bc', which gives us:
a(bc(a + c)) = ab(a + c) ac(a + c)
Therefore, the factors of a2 ab bc ca are (a b) (a c).
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Which of the following are the factors of a2 + ab +bc + caa)(a + b) (a...
Answer is c kyuki 4+18+14=36 or 9×4=36 is answer is c
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