Question

Resolva os exercícios abaixo e depois envie o desenvolvimento pela plataforma.

a) (x+3)²

b)(a + b)²

c) (5y-1)²

d) (x2-6)²

e) (2x + 7)²

f) (9x + 1). (9x -1)

g) (a2-xy)²

k) (x³y-xy³)2

i) (3y-5)²

j) (2x² + 3xy)²

k) (10x² - ab)²

l) (2a³ + 3a)²

m) (ab + a²). (ab – a²)

Answer 1

Resposta:

a) (x+3)²

${(x + 3)}^{2} \\ {x}^{2} + 2 \times x \times 3 + {3}^{2} \\ {x}^{2} + 6x + 9$

b)(a + b)²

${(a + b)}^{2} \\ {a}^{2} + 2ab + {b}^{2}$

c) (5y-1)²

${(5y - 1)}^{2} \\ {(5y)}^{2} - 2 \times 5y \times 1 + {1}^{2} \\ 25 {y}^{2} - 10y + 1$

d) (x2-6)²

${( {x}^{2}) }^{2} - 2 \times {x}^{2} \times 6 + {6}^{2} \\ {x}^{4} - 12x + 36$

e) (2x + 7)²

${(2x)}^{2} + 2 \times 2x \times 7 + {7}^{2} \\ 4 {x}^{2} + 28x + 49$

f) (9x + 1). (9x -1)

${(9x)}^{2} - {1}^{2} \\ 81 {x}^{2} - 1$

g) (a2-xy)²

${( {a}^{2} )}^{2} - 2 \times {a}^{2} \times xy + {(xy)}^{2} \\ {a}^{4} - 2 {a}^{2} xy + {x}^{2} {y}^{2}$

k) (x³y-xy³)2

${( {x}^{3} y)}^{2} - 2 \times {x}^{3} y \times x {y}^{3} + {(x {y}^{3}) }^{2} \\ {x}^{6} {y}^{2} - 2 {x}^{4} {y}^{4} + {x}^{2} {y}^{6}$

i) (3y-5)²

${(3y)}^{2} - 2 \times 3y \times 5 + {5}^{2} \\ 9 {y}^{2} - 30y + 25$

j) (2x² + 3xy)²

${(2x ^{2} )}^{2} + 2 \times 2{x}^{2} \times 3xy + {(3xy)}^{2} \\ 4 {x}^{4} + 12 {x}^{3} y + 9 {x}^{2} {y}^{2}$

k) (10x² - ab)²

${(10 {x}^{2}) }^{2} - 2 \times 10x^{2} \times ab + {(ab)}^{2} \\ 100 {x}^{4} - 20ab {x}^{2} + {a}^{2} {b}^{2}$

l) (2a³ + 3a)²

${(2 {a}^{3} })^{2} + 2 \times 2 {a}^{3} \times 3a + {(3a)}^{2} \\ 4 {a}^{6} + 12 {a}^{4} + 9 {a}^{2}$

m) (ab + a²) · (ab – a²)

${(ab)}^{2} - {( {a}^{2}) }^{2} \\ {a}^{2} {b}^{2} - {a}^{4}$