Question

factor by grouping. (PLEASE HELP ME)
24x^2 - 20xy +30 xy -25y^2

Answer 1

\[24x^2-20xy+30xy-25y^2=24x^2+10xy-25y^2\]

Answer 2

To factor this, we want something like \[(ax+b)(cx+d)\]where\[ac=24\]\[bd=-25\]\[ad+bc=10\]

Answer 3

Factors a and c could be 1, 2, 3, 4, 6, 12, or 24
Factors b and d could be 1, 5, 25, -1, -5, -25

Answer 4

Let's try to use 4 and 6 for a and c\[(4x+b)(6x+d)\] what could b and d be so that \[bd=-25\]and \[4d+6c=10\]

Answer 5

Factor by grouping: \[24x^2+30xy-20xy-25y^2\]\[6x(4x+5y)-5y(4x+5y)\]\[(6x-5y)(4x+5y)\]