Question

g) ax+5x+ay+5y
h)a^3-a^2+a-1
i)10a^3b-5ab^3+6a^2-3b^2
j)3a-6y+ab-2by

Me ajudem pls

Answer 1

g)

$ax + 5x + ay + 5y = \\ a(x + y) + 5(x + y) = \\ (x + y)(a + 5)$

h)

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

i)

$10 {a}^{3} b - 5a {b}^{3} + 6 {a}^{2} - 3 {b}^{2} = \\ 5ab(2 {a}^{2} - {b}^{2} ) + 3(2 {a}^{2} - {b}^{2} ) = \\ (2 {a}^{2} - {b}^{2} )(5ab + 3)$

j)

$a(3+b)-2y(3+b) \\ (3+b)(a-2y)$

Answer 2

Oie, Td Bom?!

a)

$ax + 5x + ay + 5y \\ x \: . \: (a + 5) + y \: . \: (a + 5) \\ (a + 5) \: . \: (x + y)$

b)

$a {}^{3} - a {}^{2} + a - 1 \\ a {}^{2} \: . \: (a - 1) + a - 1 \\ (a - 1) \: . \: (a {}^{2} + 1)$

c)

$10a {}^{3} b - 5ab {}^{3} + 6a {}^{2} - 3b {}^{2} \\ 5ab \: . \: (2a {}^{2} - b {}^{2} ) + 3(2a {}^{2} - b {}^{2} ) \\ (2a {}^{2} - b {}^{2} ) \: . \: (5ab + 3)$

d)

$3a - 6y + ab - 2by \\ 3(a - 2y) + b \: . \: (a - 2y) \\ (a - 2y) \: . \: (3 + b)$

Att. Makaveli1996