Question

Помогите решить пример на скриншоте ниже

Answer 1

а)
$a {n}^{2} + c {n}^{2} - ap + a {p}^{2} - cp + c {p}^{2} = {n}^{2} (a + c) - p(a + c) + {p}^{2} (a + c) = (a + c)( {n}^{2} - p + {p}^{2} )$
б)
$a {x}^{2} + a {y}^{2} - b {x}^{2} - b {y}^{2} + b - a = {x}^{2} (a - b) + {y}^{2} (a - b) - (a - b) = (a - b)( {x}^{2} + {y}^{2} - 1)$
в)
$x {y}^{2} - b {y}^{2} - ax + ab + {y}^{2} - a = x( {y}^{2} - a) - b( {y}^{2} - a) + {y}^{2} - a = ( {y }^{2} - a)(x - b + 1)$
г)
$a {c}^{2} - ad - b {c}^{2} + cd + bd - {c}^{3} = a( {c}^{2} - d) - b( { c }^{2} - d) - c( {c}^{2} - d) = ( {c}^{2} - d)(a - b - c)$