Factorise the equation 4xy - 12xyz
Answers
Step-by-step explanation:
(22xyz2 - 12xyz) - 16xy
STEP
2
:
STEP
3
:
Pulling out like terms
3.1 Pull out like factors :
4xyz2 - 12xyz - 16xy = 4xy • (z2 - 3z - 4)
Trying to factor by splitting the middle term
3.2 Factoring z2 - 3z - 4
The first term is, z2 its coefficient is 1 .
The middle term is, -3z its coefficient is -3 .
The last term, "the constant", is -4
Step-1 : Multiply the coefficient of the first term by the constant 1 • -4 = -4
Step-2 : Find two factors of -4 whose sum equals the coefficient of the middle term, which is -3 .
-4 + 1 = -3 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -4 and 1
z2 - 4z + 1z - 4
Step-4 : Add up the first 2 terms, pulling out like factors :
z • (z-4)
Add up the last 2 terms, pulling out common factors :
1 • (z-4)
Step-5 : Add up the four terms of step 4 :
(z+1) • (z-4)
Which is the desired factorization
Final result :
4xy • (z + 1) • (z - 4)
Step-by-step explanation:
Factorise the equation 4xy - 12xyz
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