Question
Factorise the following by grouping the terms:$2m^3 - 5n^2 - 5m^2n + 2mn$
✓
Answer
$2m^3 - 5n^2 - 5m^2n + 2mn$
$= 2m^3 + 2mn - 5m^2n - 5n^2$
$= (2m^3 + 2mn) - (5m^2n + 5n^2)$
$= 2m(m^2 + n) - 5n(m^2 + n)$
$= (m^2 + n)(2m - 5n).$
$= 2m^3 + 2mn - 5m^2n - 5n^2$
$= (2m^3 + 2mn) - (5m^2n + 5n^2)$
$= 2m(m^2 + n) - 5n(m^2 + n)$
$= (m^2 + n)(2m - 5n).$
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The marks obtained by 35 students in an examination are given below :
370, 290, 318, 175, 170, 410, 378, 405, 380, 375, 315, 305, 325, 275, 241, 288, 261, 355, 402, 380, 178, 253, 428, 240, 210, 175, 154, 405, 380, 370, 306, 460, 328, 440, 425
From a cumulative frequency table with class intervals of length 50.
370, 290, 318, 175, 170, 410, 378, 405, 380, 375, 315, 305, 325, 275, 241, 288, 261, 355, 402, 380, 178, 253, 428, 240, 210, 175, 154, 405, 380, 370, 306, 460, 328, 440, 425
From a cumulative frequency table with class intervals of length 50.
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