Question

Descompune:
a)x^2-x^2y+xy^2-y^3
b)x^2+ax+bx+ab
c)xy+5x+3y+15
d)0,25-x^2
e)a^2b^2-16c^2
f)x^2-25
g)2a^2-3
h)81-c^2
i)64x^4-y^4
j)x^2-y^2+√2x+√2y
k)7x-7y+4x^2-4y^2
l)a^2-b^2+1/2a-1/2b
m)1-3x+9/4x^2
n)x^2-2√6x+6
o)2x^2+2√2x+1
p)9-3a+0,25a^3
q)16x^2+8x+1
r)25+10y+y^2
s)3a^2-2√3a+1
t)2+2√6xy+3x^2y^2

Va rog frumos!!!

Answer 1

a)
${x}^{2} (1 - y) - {y}^{2} (x - y)$
b)
$x(x + a) + b(x + a) = \\ (x + a)(x + b)$
c)
$x(y + 5) + 3(y + 5) \\ (y + 5)(x + 3)$
d)
$0.25 = \frac{25}{100} = \frac{5}{20} = \frac{1}{4}$
$\frac{1}{4} - {x}^{2} =$
$amplific \: {x}^{2} \: cu \: 4$
$\frac{1 - 4 {x}^{2} }{4} = \\ \frac{(1 - 2x)(1 + 2x)}{4}$
e)
${(ab)}^{2} - {4c}^{2} = \\ (ab - 4c)(ab + 4c)$
f)
${x}^{2} - {5}^{2} = (x - 5)(x + 5)$

Answer 2

Ai primit deja raspuns pana la g.

Iti mai dau si eu cateva:

g)2a^2-3  = (arad2 - rad3)(arad2 + rad3)

h)81-c^2  =(9-c)(9+c)

i)64x^4-y^4  = (8x^2 -y^2)(8x^2 + y^2) = (xrad8 - y)(xrad8 + y)((8x^2 + y^2) =

(2xrad2 - y)(2xrad2 + y)((8x^2 + y^2)

j)x^2-y^2+√2x+√2y  = (x-y)(x+y)  +  rad2 * (x+y) = (x+y)(x-y+rad2)

k)7x-7y+4x^2-4y^2 = 7(x-y) +4(x-y)(x+y) = (x-y)(7+4x+4y)

l)a^2-b^2+1/2a-1/2b  = (a-b)(a+b) +1/2 * (a-b) = (a-b)(a+b+1/2)

m)1-3x+9/4x^2  = (1-(3x/2))^2