Question

Realiza la multiplicación entre polígonos
a) (6ab+10)(7a-2b)

b) (-12mn+5)(-3mn-2)

c) (3a-5b+3c)(4a+2b+c)

d) (5x+8y+12)(-3x-4y+9)

e) (-3x²y-2xy²-xy)(x²-y²)

f) (9m-n+3m²+2)(m-n)

g) (4p-2q+r)(3p+5q-12)​

Answer 1

Explicación paso a paso:

a.(6ab+10)(7a-2b)= (6ab+7a)(10-2b)=(13ab)(10-2b)

b.(-12mn+5)(-3mn-2)=(-12mn-3mn)(5-2)=(-15mn)(3)

c.(3a-5b+3c)(4a+2b+c)=(3a+4a)(-5b+2b)(3c+c)=(7a)(-3b)(4c)

d. (5x+8y+12)(-3x-4y+9)=(5x-3x)(8y-4y)(12+9)=(2x)(4y)(21)

e) (-3x²y-2xy²-xy)(x²-y²)=(-3$x^{2}$y+$x^{2}$)(-2x$y^{2}$-$y^{2}$)(-xy)=(-2$x^{2}$y)(-2x)(-xy)

f) (9m-n+3m²+2)(m-n)=(9m+m)(-n-n)(3$m^{2}$)(2)=(10m)(-2n)(3$m^{2}$)(2)

g) (4p-2q+r)(3p+5q-12)=(4p+3p)(2q+5q)(r)(-12)=(7p)(7q)(r)(-12)