Question

दिलेल्या बहुपदीची अवयव काढा: (x² - 6x)² -8 (x² - 6x +8) - 64

Answer 1

Solution :

(x² - 6x)² -8 (x² - 6x +8) - 64

Let x² - 6x = m ----( 1 )

Now ,

m² - 8(m+8) - 64

= m² - 8m - 64 - 64

= m² - 8m - 128

= m² -16m +8m - 128

= m(m-16)+8(m-16)

= (m-16)(m+8)

= (x²-6x-16)(x²-6x+8)

= (x²-8x+2x-16)(x²-4x-2x+8)

=[x(x-8)+2(x-8)][x(x-4)-2(x-4)]

= (x-8)(x+2)(x-4)(x-2)

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