Question

factoriza las expresiones
a)x2-16
b) a2-b2
c) X2+13x-30 D) x2-15x-54
e) 4×2-20XY+25Y2
f) 9a2+12aX+ 4x2​

Answer 1

Respuesta:

$a){x}^{2} -16$

$(x - 4)(x + 4)$

$b){a}^{2} - {b}^{2}$

$(a - b)(a + b)$

$c) {x}^{2} +13x-30$

$(x + 15)(x - 2)$

$d){x}^{2} -15x-54$

$(x - 18)(x + 3)$

$e)4 {x}^{2} -20xy+25 {y}^{2}$

${(a - b)}^{2} = {a}^{2} - 2(a)(b) + {b}^{2}$

${(2x - 5y)}^{2} = {2}^{2} {x}^{2} - 2(2x)(5y) + {5}^{2} {y}^{2}$

$4 {x}^{2} - 20xy + 25 {y}^{2}$

$solucion \: {(2x - 5y)}^{2}$

$f)9 {a}^{2} +12ax+ 4 {x}^{2}$

$igual \: que \: el \: anterior$

${(3a + 2x)}^{2}$