Factor by the method of grouping. Show the check by re-multiplication of the factors. 10xy-2xy+45x-9w

Eliza Gregory 2022-10-13 Answered
Factor by the method of grouping. Show the check by re-multiplication of the factors.
10 x y 2 x y + 45 x 9 w
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Answers (1)

Adenomacu
Answered 2022-10-14 Author has 13 answers
Given equation is
10 x y 2 x y + 45 x 9 w
Above equation rewritten as
10 x y + 45 x 2 x y 9 x = 5 x ( 2 y + 9 ) x ( 2 y + 9 ) = ( 5 x x ) ( 2 y 9 ) = 4 x ( 2 y + 9 )
Factors are 5 x x ,   2 y + 9
Or, 4 x ,   2 y + 9
So, we get
10 x y 2 x y + 45 x 9 x = 8 x y + 36 x
Multiply the factors (4x) and (2y+9) we get
( 4 x ) ( 2 y + 9 ) = 4 x × 2 y + 4 x × 9 = 8 x y + 36 x
Then, we check multiplication of factors
Factors are 4x, 2y+9
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