Exercise 4.1

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((7x + 4y)^2\)

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((\frac{7}{5}x + \frac{3}{2}y)^2\)

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((2.5p + 1.5q)^2\)

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((\frac{3}{4}s + 8t)^2\)

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((x + \frac{1}{2}y)^2\)

Using the identity \((a + b)^2 = a^2 + 2ab + b^2\), expand the following: \((\frac{1}{x} + \frac{1}{y})^2\)

Using the same identity, find the values of the following: \((64)^2\)

Using the same identity, find the values of the following: \((105)^2\)

Using the same identity, find the values of the following: \((205)^2\)