factorise a(x+y+z)+b(x+y+z)+c(x+y+z)
Answers
Answer:
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Step-by-step explanation:
a( x + y + z ) + b ( x + y + z ) + c ( x + y + z )
= ax + ay + az + bx + by + bz + cx + cy + cz
= ax + bx + cx + ay + by + cy + az + bz + cz
= x ( a + b + c ) + y ( a + b + c ) + z ( a + b + c )
= ( x + y + z ) ( a + b + c )
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Given : a(x+y+z)+b(x+y+z)+c(x+y+z)
To Find : factorise
Solution:
Factorization" is finding factors which when multiplied together results in the original number.
a(x+y+z)+b(x+y+z)+c(x+y+z)
Taking (x + y + z) common from all three term
= (x + y + z)(a + b + c)
Hence
a(x+y+z)+b(x+y+z)+c(x+y+z) = (x + y + z)(a + b + c)
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