Question

Me ajudem por favor!
A:(5+3a)²
B:(2a+x)²

C:(r+4s)²
D:(a+ab)²
E:(2x+xy)²

F:(a2+1)²
G:(y*5+3)² '' * elevado a 5''
H:(y*5+1)² '' * elevado a 5''
I:(4x²+7)²
J:(x+2y³)²
L:(mn²+4)²

Answer 1

Me ajudem por favor!


A:(5+3a)² 

(5 + 3a)² =
(5 + 3a)(5 + 3a) =
25 + 15a + 15a + 9a² =
25 + 30a + 9a²

(5 + 3a)² = 25 + 30a + 9a²


B:(2a+x)²
(2a + x)(2a + x) =
4a² + 2ax + 2ax + x² 
4a² + 4ax + x²

(2a + x)² = 4a² + 4ax + x²







C:(r+4s)²
(r + 4s)( r + 4s) =
r² + 4rs + 4rs + 16s²
r² + 8rs + 16s²

(r + 4s)²= r² + 8rs + 16s²


D:(a+ab)²
(a + ab)(a + ab) =
a² + a²b + a²b + a²b²
a² + 2a²b + a²b²
(a + ab)² = a² + 2a²b + a²b²

E:(2x+xy)²
(2x + xy)(2x + xy) =
(4x² + 2x²y + 2x²y + x²y²)
4x² + 4x²y + x²y²

(2x + xy)² = 4x² + 4x²y + x²y² 

F:(a2+1)²
(a² + 1)(a² + 1)
a⁴ + a² + a² + 1
a⁴ + 2a² + 1
(a² + 1)² = a⁴ + 2a² + 1

G:(y*5+3)² '' * elevado a 5''

(y⁵ + 3)²
(y⁵ + 3)(y⁵ + 3)
y¹⁰ + 3y⁵ + 3y⁵ + 9
y¹⁰ + 6y⁵ + 9

(y⁵ + 3)² = y¹⁰ + 6y⁵ + 9

H:(y*5+1)² '' * elevado a 5''
(y⁵ + 1)²
(y⁵ + 1)(y⁵ + 1)  =
y¹⁰ + 1y⁵ + 1y⁵ + 1
y¹⁰ + 2y⁵ + 1

(y⁵ + 1)² = y¹⁰ + 2y⁵ + 1


I:(4x²+7)² 

(4x² + 7)(4x² + 7) =
16x⁴ + 28x² + 28x² + 49
16x⁴ + 56x² + 49

(4x² + 7)² = 16x⁴ + 56x² + 49

J:(x+2y³)² 

(x + 2y³)²
(x + 2y³)( x + 2y³) =
x² +  2xy³ + 2xy³ + 4y⁶
x² + 4xy³ + 4y⁶

(x + 2y³)² = x² + 4xy³ + 4y⁶ 

L:(mn²+4)²

(mn² + 4)(mn² + 4) =
m²n⁴ + 4mn² + 4mn² + 16
m²n⁴ + 8mn² + 16

(mn² + 4)² = m²n⁴ + 8mn² + 16