Question

2)Determine o quadrado da diferença a) (x - y)² = b) (n - b)² = c) ( y - 3)² = d) (2x - y)² = e) (4a - 6)² = f) (2 y- 3)² = g) (x +y). ( x – y)=

Answer 1

Resposta:

A- $x^{2}$ - 2xy + $y^{2}$

B- $n^{2}$ - 2nb + $b^{2}$

C- $y^{2}$ - 6y + 9

D- 4x - 4xy + $y^{2}$

E- 16a - 48a + 36

F- 4y - 12y + 9

G- $x^{2}$ - 2xy + $y^{2}$

Explicação passo-a-passo:

A- $(x - y)^{2}$= $(x)^{2}$ - 2. x. y + $y^{2}$

$x^{2}$ - 2xy + $y^{2}$

B- $(n - b)^{2}$ = $(n)^{2}$ - 2. n. b + $(b)^{2}$

$n^{2}$ - 2nb + $b^{2}$

C- $(y - 3)^{2}$ = $(y)^{2}$ - 2. y. 3 + $3^{2}$

$y^{2}$ - 6y + 9

D- $(2x - y)^{2}$ = $(2x)^{2}$ - 2. 2x. y + $(y)^{2}$

4x - 4xy + $y^{2}$

E- $(4a - 6)^{2}$ = $(4a)^{2}$ - 2. 4a. 6 + $6^{2}$

16a - 48a + 36

F- $(2y - 3)^{2}$ = $(2y)^{2}$ - 2. 2y. 3 + $3^{2}$

4y - 12y + 9

G- (x + y). (x - y) = (OU) $(X - Y)^{2}$

$(x - y)^{2}$ = $(x)^{2}$ - 2. x. y + $(y)^{2}$

$x^{2}$ - 2xy + $y^{2}$