Question

Por favor me ayudan urgente.
Resolver cada cuadrado de binomio:
1. (x+4)2^
2.(3x+2)2^
3. (a+1)2^
4.(p+5g)2^
5.(a+2b)2^​

Answer 1

cuadrado del binomio

fórmula --> (a + b)²= a² + 2.a.b + b²

1)

${(x + 4)}^{2}$

${x}^{2} + 2 \times x \times 4 + 4 {}^{2}$

$x {}^{2} + 8x + 16$

2)

${(3x + 2)}^{2}$

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

$9 {x}^{2} + 12x + 4$

3)

${(a + 1)}^{2}$

$a {}^{2} + 2 \times a \times 1 + 1 {}^{2}$

$a {}^{2} + 2a + 1$

4)

${(p + 5g)}^{2}$

$p ^{2} + 2 \times p \times 5g + ( {5g)}^{2}$

$p {}^{2} + 10pg + 25g {}^{2}$

5)

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

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

${a}^{2} + 4ab + 4b {}^{2}$