Question

2.- Eleva al cuadrado los siguientes binomios:

a) (a - 2)² = ?? b) (m + n)² = ??
c) (x + 5)² = ?? d) (3x - 4)² = ??
e) (6f + 2g)² = ?? f) (-7m - 3)² = ??
g) (8h - 4)² = ?? h) (9t + 8)² = ??

aaaayuda :'D​

Answer 1

Explicación paso a paso:

Fórmula de binomio al cuadrado:

(a ± b)² = a² ± 2ab + b²

Eleva al cuadrado los siguientes binomios:

a) (a - 2)² =

Resolvamos:

(a-2)² = (a)² - 2(a)(2) + (2)²

(a-2)² = a²-4a+4

b) (m + n)² =

Resolvamos:

(m+n)² = (m)² + 2(m)(n) + (n)²

(m+n)² = m²+2mn+n²

c) (x + 5)² =

Resolvamos:

(x+5)² = (x)² + 2(x)(5) + (5)²

(x+5)² = x²+10x+25

d) (3x - 4)² =

Resolvamos:

(3x-4)² = (3x)² - 2(3x)(4) + (4)²

(3x-4)² = 9x²-24x+16

e) (6f + 2g)² =

Resolvamos:

(6f+2g)² = (6f)² + 2(6f)(2g) + (2g)²

(6f+2g)² = 36f²+24fg+4g²

f) (-7m - 3)² =

Resolvamos:

(-7m-3)² = (-7m)² - 2(-7m)(3) + (3)²

(-7m-3)² = 49m²+42m+9

g) (8h - 4)² =

Resolvamos:

(8h-4)² = (8h)² - 2(8h)(4) + (4)²

(8h-4)² = 64h²-64h+16

h) (9t + 8)² =

Resolvamos:

(9t+8)² = (9t)² + 2(9t)(8) + (8)²

(9t+8)² = 81t²+144t+64