Question

Por favor me ajudem responder essas questões de produtos notaveis:

a) (3x+2)²          b) (3x-1)²       c) (4x+5y)²        d) (x-7y)²

e) (2x+5y)²        f) (7x+9y)      g) (10x-11)²       h) (x+20y)²

i) (8x+2)²          j) (13x-10y)²

Answer 1

a)
3x^2+2.3x.2+2^2
3x^2+12x+4

b)
3x^2-2.3x.-1+(-1)^2
3x^2+6x+1

c)
4x^2+2.4x.5y+5y^2
4x^2+40xy+5y^2

d)
x^2-2.x.-7y+(-7y)^2
x^2+14xy-7y^2

e)
2x^2+2.2x.5y+5y^2
2x^2+20xy+5y^2

f)
7x^2+2.7x.9y+9y^2
7x^2+126xy+9y^2

g)
10x^2-2.10x.-11+(-11)^2
10x^2+220x+121

h)
x^2+2.x.20y+20y^2
x^2+40xy+20y^2

i)
8x^2+2.8x.2+2^2
8x^2+32x+4

j)
13x^2-2.13x-10y+10y^2
13x^2+260xy+10y^2

Answer 2

a) $(3x+2)^2=9x^2+12x+4$

b)$(3x-1)^2=9x^2-6x+1$

c)$(4x+5y)^2=16x^2+40xy+25y^2$

d)$(x-7y)^2=x^2-14xy+49y^2$

e)$(2x+5y)^2=4x^2+20xy+25y^2$

f)$(7x+9y)^2=49x^2+126xy+81y^2$

g) $(10x-11)^2=100x^2-220x+121$

h)$(x+20y)^2=x^2+40xy+400y^2$

i)$(8x+2)^2=64x^2+32x+4$

j)$(13x-10y)^2=169x^2-260xy+100y^2$