Question

Formuals of algebraic identities

Answer 1

Algebraic identities

$\boxed{\begin{minipage}{7 cm}\boxed{\bigstar\:\:\textbf{\textsf{Algebric\:Identity}}\:\bigstar}\\\\1)\bf\:(A+B)^{2} = A^{2} + 2AB + B^{2}\\\\2)\sf\: (A-B)^{2} = A^{2} - 2AB + B^{2}\\\\3)\bf\: A^{2} - B^{2} = (A+B)(A-B)\\\\4)\sf\: (A+B)^{2} = (A-B)^{2} + 4AB\\\\5)\bf\: (A-B)^{2} = (A+B)^{2} - 4AB\\\\6)\sf\: (A+B)^{3} = A^{3} + 3AB(A+B) + B^{3}\\\\7)\bf\:(A-B)^{3} = A^{3} - 3AB(A-B) + B^{3}\\\\8)\sf\: A^{3} + B^{3} = (A+B)(A^{2} - AB + B^{2})\\\\\end{minipage}}$

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Answer 2

(a+b)²= a²+2ab+b²

(a-b)²= a²-2ab+b²

a²-b²= (a+b)(a-b)

(a+b)³= a³+3a²b+3ab²+b³

(a-b)³= a³-3a²b+3ab²-b³

(x+a)(x+b)= x²+x(a+b)+ab or x²+ax+bx+ab

(a+b+c)²= a²+b²+c²+2ab+2bc+2ca