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What are the factors of ax+by+bx+az+ay+bz?
- a)(bx+ay),(ax+by)
- b)(a+b),(2x+2y+2z)
- c)(x+y+z),(a+b)
- d)(x+y−z),(a−b)
Correct answer is option 'C'. Can you explain this answer?
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What are the factors ofax+by+bx+az+ay+bz?a)(bx+ay),(ax+by)b)(a+b),(2x+...
ax+by+bx+az+ay+bz, rearranging we get ax+ay+az+bx+by+bz
a(x+y+z)+b(x+y+z)=(a+b)(x+y+z). Hence the factors are (a+b), (x+y+z)
a(x+y+z)+b(x+y+z)=(a+b)(x+y+z). Hence the factors are (a+b), (x+y+z)
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What are the factors ofax+by+bx+az+ay+bz?a)(bx+ay),(ax+by)b)(a+b),(2x+...
ax+by+bx+az+ay+bz, rearranging we get ax+ay+az+bx+by+bz
a(x+y+z)+b(x+y+z)=(a+b)(x+y+z). Hence the factors are (a+b), (x+y+z)
a(x+y+z)+b(x+y+z)=(a+b)(x+y+z). Hence the factors are (a+b), (x+y+z)
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What are the factors ofax+by+bx+az+ay+bz?a)(bx+ay),(ax+by)b)(a+b),(2x+...
Factors of ax+by+bx+az+ay+bz
Factors of an expression can be found by factoring out common terms. In this case, the given expression is ax+by+bx+az+ay+bz.
Step 1: Group like terms
- Group terms with similar variables together: (ax+bx) + (ay+by) + (az+bz).
- Factor out common terms: x(a+b) + y(a+b) + z(a+b).
Step 2: Factor out the common factor
- The common factor in each term is (a+b).
- Therefore, the expression can be factored as (x+y+z)(a+b).
Therefore, the factors of the expression ax+by+bx+az+ay+bz are (x+y+z)(a+b), which is option C.
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What are the factors ofax+by+bx+az+ay+bz?a)(bx+ay),(ax+by)b)(a+b),(2x+2y+2z)c)(x+y+z),(a+b)d)(x+y−z),(a−b)Correct answer is option 'C'. Can you explain this answer?
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