Factorise: 12x^2 - 23xy +10y^2
Answers
ANSWER:------------
Step by step solution
.:Step 1 :Equation at the end of step 1 : ((12 • (x2)) - 23xy) +
(2•5y2) = 0 Step 2 :Equation at the end of step 2 : ((22•3x2) - 23xy) + (2•5y2) = 0 Step 3 :Trying to factor a multi variable polynomial : 3.1 Factoring 12x2 - 23xy + 10y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (4x - 5y)•(3x - 2y)Equation at the end of step 3 : (4x - 5y) • (3x - 2y) = 0 Step 4 :Theory - Roots of a product : 4.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.Equation of a Straight Line 4.2 Solve 4x-5y = 0
HENCE PROVED
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