Question

Answer 1

2A:

a: \(\left(2x+y\right)^2=4x^2+4xy+y^2\)

b: \(\left(x-\dfrac{1}{2}y\right)^2=x^2-xy+\dfrac{1}{4}y^2\)

c: \(\left(x^2+\dfrac{y}{2}\right)\left(x^2-\dfrac{y}{2}\right)=x^4-\dfrac{y^2}{4}\)

d: \(\left(x-2y\right)^2\cdot\left(x+2y\right)^2=\left(x^2-4y^2\right)^2=x^4-8x^2y^2+16y^4\)

Answer 2

1B:

a: \(\left(3x+1\right)^2=9x^2+6x+1\)

b: \(\left(x-\dfrac{3}{4}\right)^2=x^2-\dfrac{3}{2}x+\dfrac{9}{16}\)

c: \(\left(x-4\right)\left(x+4\right)=x^2-16\)

d: \(\left(x^2-2\right)^2=x^4-4x^2+4\)

Answer 3

1A:

a: \(\left(2a+3\right)^2=4a^2+12a+9\)

b: \(\left(\dfrac{1}{2}x-4\right)^2=\dfrac{1}{4}x^2-4x+16\)

c: \(\left(3x+2\right)\left(3x-2\right)=9x^2-4\)

d: \(\left(3-x^2\right)^2=9-6x^2+x^4\)