Anonymous
Anonymous asked in 科學及數學數學 · 1 decade ago

F.2Maths!!!

7. Factorize the following expressions.

(a) 4n2(m − 8n) − 2n(8n − m) + 6mn(8n − m)

(b) ky(2k − h)(2x − 2y) − y(2k − h)2(x − y) + 2h(2h − 4k)(x − y)2

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  • Anonymous
    1 decade ago
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    7. Factorize the following expressions.

    (a) 4n2(m − 8n) − 2n(8n − m) + 6mn(8n − m)

    = 4n^2 (m - 8n) - 2n (8n - m) (1-3m)

    = 4n^2 (m - 8n) + 2n (m - 8n) (3m - 1)

    = 2n (m - 8n) (2n + 3m -1)

    (b) ky(2k − h)(2x − 2y) − y(2k − h)2(x − y) + 2h(2h − 4k)(x − y)2

    = 2y (2k - h) (x - y) (k - 2k + h) + 4h (h - 2k) (x - y)^2

    = 2 (x - y) [ y (2k - h) (k - 2k + h) + 2h (h - 2k) (x - y) ]

    = 2 (x - y) [ y (2k - h) (h - k) - 2h (2k - h) (y - x) ]

    = 2 (x - y) (2k - h) [ y (h - k) - 2h (y - x) ]

    = 2 (x - y) (2k - h) ( hy - ky - 2hy + 2hx)

    = 2 (x - y) (2k - h) [ 2hx - y ( h + k) ]

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