Question

Fatore as expressoes.

a) 3a+6b
b) $x^2y+xz=$
c) 15m+$5m^2$
d) $x^2-36=$
e) $9x^2-100=$
f) $x^2-5x$
g) $a^2-9b^2$
h) $x^2-8x+16$
i) $a^2+2a+1=$
j) $y^2-16y+64=$
k) $9x^2+24x+16$
l) $25-b^2$
m) ay+by+2a+2b=
n) 3y+3+xy+x=
o) $x^3+x^2+x=$
p) $4x^2+20xy+25y^2=$

Answer 1

Explicação passo-a-passo:

3a+6b

3(a+2b)

x²y+xz

x(xy+z)

15m+5m²

5m(3+m)

x²-36

x²-6²

(x-6)(x+6)

9x²-100

3²x²-10²

(3x)²-10²

(3x-10)(3x+10)

x²-5x

x(x-5)

a²-9b²

a²-3²b²

a²-(3b)²

(a-3b)(a+3b)

x²-8x+16

x²-2.x.4+4²

(x-4)²

a²+2a+1

a²+2.a.1+1²

(a+1)²

y²-16y+64

y²-2.y.8+8²

(y-8)²

9x²+24x+16

3²x²+2.3x.4+4²

(3x)²+2.3x.4+4²

(3x+4)²

25-b²

5²-b²

(5-b)(5+b)

ay+by+2a+2b

y(a+b)+2(a+b)

(a+b)(y+2)

3y+3+xy+x

3(y+1)+x(y+1)

x³+x²+x

x(x²+x+1)

4x²+20xy+25y²

2²x²+2.2x.5y+5²y²

(2x)²+2.2x.5y+(5y)²

(2x+5y)²

Answer 2

Resposta:

a)

$3a + 6b \\ \\ \large \boxed{ \green{3(a + 2b)}}$

b)

$x^2y+xz \\ \\ \large\boxed{ \green{x(xy + z)}}$

c)

$15m + 5 {m}^{2} \\ \\ \large\boxed{ \green{5m(3 + m)}}$

d)

$x^2-36 \\ \\ \large\boxed{ \green{(x - 6)(x + 6)}}$

e)

$9x^2-100 \\ \\ \large \boxed{ \green{ (3x + 10)(3x - 10)}}$

f)

$x^2-5x \\ \\ \large \boxed{ \green{x(x - 5)}}$

g)

$a^2-9b^2 \\ \\ \large\boxed{ \green {(a + 3b)(a - 3b)}}$

h)

$x^2-8x+16 \\ \\ \large\boxed{ \green{ (x - 4) {}^{2} }}$

i)

$a^2+2a+1 \\ \\ \large\boxed{ \green{( {a + 1)}^{2} }}$

j)

$y^2-16y+64 \\ \\ \large \boxed{ \green{ ( {y - 8)}^{2} }}$

k)

$9x^2+24x+16 \\ \\ \large \boxed{ \green{ ( {3x + 4)}^{2} }}$

l)

$25-b^2 \\ \\ \large \boxed{ \green{ (5 + b)(5 - b)}}$

m)

$ay+by+2a+2b \\ \\ y(a + b) + 2(a + b) \\ \\ \large \boxed{ \green{(a + b)(y + 2)}}$

n)

$3y+3+xy+x \\ \\ 3(y + 1) + x(y + 1) \\ \\ \large \boxed{ \green{(y + 1)(3 + x)}}$

o)

$x^3+x^2+x \\ \\ \large \boxed{ \green{ x( {x}^{2} + x + 1)}}$

p)

$4x^2+20xy+25y^2 \\ \\ \large \boxed{ \green{( {2x + 5y)}^{2} }}$

$\Large \boxed{ \underline{ \blue{ \bf \: Bons \: Estudos!}}}$