Question

Factorise? solve the problem?? ​

Answer 1

Answer:

please refer to the attachment

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Answer 2

Question number 11:-

${x}^{3} - 64x$

$= x( {x}^{2} - 64)$

$= x(x^{2} - {8}^{2} )$

$= x(x + 8)(x - 8)$

Question number 12:-

$16x^{5} - 144 {x}^{3}$

$= {x}^{3} (16 {x}^{2} - 144)$

$= {x}^{3} ((4x)^{2} - (12)^{2} )$

$= {x}^{3} (4x + 12)(4x - 12)$

$= 16 {x}^{3} (x + 3)(x - 3)$

Question number 13:-

$3 {x}^{5} - 48 {x}^{3}$

$= 3 {x}^{3} ( {x}^{2} - 16)$

$= 3 {x}^{3} ( {x}^{2} - {4}^{2} )$

$= 3 {x}^{3} (x + 4)(x - 4)$

Question number 14:-

$16 {p}^{3} - 4p$

$= 4p(16 {p}^{2} - 1)$

$= 4p((4p)^{2} - (1)^{2} )$

$= 4p(4p + 1)(4p - 1)$

Question number 15:-

$63 {a}^{2} {b}^{2} - 7$

$= 7(9 {a}^{2} {b}^{2} - 1)$

$= 7((3ab)^{2} - (1)^{2} )$

$= 7(3ab + 1)(3ab - 1)$

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