Question

Produtos Notáveis

A)(x+1)²
B)(x+6)²
C)(a+10)²
D)(y+4)²
E)(x+√2)²
F)(3x+1)²
G)(2a+5)²
H)(a+2b)²
I)(5a+3b)²
j)(x²+4)²
k)(a²+1)²
l)(2a+10)²

Respondam rápido prfv

Answer 1

Para desenvolvermos estas expressões vamos um caso notável: (x+y)²=x²+2xy+y²

A)(x+1)²
=x²+2x+1

B)(x+6)²
=x²+12x+36

C)(a+10)²
=a²+20a+100

D)(y+4)²
=y²+8y+16

E)(x+√2)²
=x²+2√2x+2

F)(3x+1)²
=9x²+6x+1

G)(2a+5)²
=4a²+20a+25

H)(a+2b)²
=a²+4ab+4b²

I)(5a+3b)²
=25a²+30ab+9b²

j)(x²+4)²
=x^4+8x²+16

k)(a²+1)²
=a^4+2a²+1

l)(2a+10)²
=4a²+40a+100

Answer 2

A)(x+1)²
(x+1)(x+1)
x²+x+x+1
x²+2x+1

B)(x+6)²
(x+6)(x+6)
x²+6x+6x+36
x²+12x+36

C)(a+10)²
(a+10)(a+10)
a²+10a+10a+100
a²+20a+100

D)(y+4)²
(y+4)(y+4)
y²+4y+4y+16
y²+8y+16

E)(x+√2)²
(x+√2)(x+√2)
x²+√2x+√2x+√4
x²+2√2x+2

F)(3x+1)²
(3x+1)(3x+1)
9x²+3x+3x+1
9x²+6x+1

G)(2a+5)²
(2a+5)(2a+5)
4a²+10a+10a+25
4a²+20a+25

H)(a+2b)²
(a+2b)(a+2b)
a²+2ab+2ab+4b²
a²+4ab+4b²

I)(5a+3b)²
(5a+3b)(5a+3b)
25a²+15ab+15ab+3b²
25a²+30ab+3b²

j)(x²+4)²
(x²+4)(x²+4)
x4+4x²+4x²+16
x4+8x²+16

k)(a²+1)²
(a²+1)(a²+1)
a4+a²+a²+1
a4+2a²+1

l)(2a+10)²
(2a+10)(2a+10)
4a²+20a+20a+100
4a²+40a+100