A stick of length ( 5x - 4y + 11z) is divided into three pieces. The length of two pieces are ( 7x - 2y + 3z) and (z - 3y + x). Find the length of the third piece.
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Step-by-step explanation:
(x – 2y) – 2(2x – 3y) = 5x – 10y – 4x + 6y = x – 4y
4x(x + y) + 3x(x – y) = 4x
2 + 4xy + 3x
2
– 3xy = 7x
2
+ xy
(5a – b)(2a – 3b) = 10a
2
– 15ab – 2ab + 3b
2
= 10a
2
– 17ab + 3b
2
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