Question

factorizar usando factor común !!!!
Ayúdame por favor!!!!!

Answer 1

a)

$= (m + n - 1) {x}^{2} + (m + n - 1)x - (m + n - 1) \\ = (m + n - 1)( {x}^{2} + x - 1)$

b)

$= ( {a}^{2} + {b}^{2} ) ^{3} a + ( {a}^{2} + {b}^{2} ) ^{3}c + ( {a}^{2} + {b}^{2} ) ^{3} \\ = ( {a}^{2} + {b}^{2} ) ^{3}(a + c + 1)$

c)

$= (x + y + z + w) {a}^{5} - (x + y + z + w)(b + c) \\ = (x + y + z + w)( {a}^{5} - b - c)$

d)

$= (a + b + 1) ^{2} - (a + b + 1)(x - 2) + (a + b + 1) \\ = (a + b + 1)(a + b + 1 + 2 - x + 1) \\ = (a + b + 1)(a + b - x + 4)$

e)

$= {( {y}^{2} + y + 7)}^{2} {c}^{2} -( {y}^{2} + y + 7)(c - 3) + ( {y}^{2} + y + 7) \\ = ( {y}^{2} + y + 7)(( {y}^{2} + y + 7)( {c}^{2} ) + 3 - c + 1) \\ = ( {y}^{2} + y + 7)( {c}^{2} {y}^{2} + {c}^{2} y + 7 {c}^{2} + 4 - c)$