Question

Simplify the following by expanding.
a) x(x+y)
b) 2t (t +p)
c) (a+b) (a-b)
d) (x+y)( x+y)
e) (x-y)(x-y)

Answer 1

$a) \: x(x + y) = {x}^{2} + xy \\ b) \: 2t(t + p) = 2 {t}^{2} + 2 tp \\ c)(a + b)(a - b) = {a}^{2} - {b}^{2} \\ d)(x + y)(x + y) = {x}^{2} + 2xy + {y}^{2} \\ e) \: (x - y)(x - y) = {x}^{2} - 2xy + {y}^{2}$

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