Question

3 Verify (x + y)2 = x2 + y2 + 2xy.​

Answer 1

Step-by-step explanation:

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Answer 2

Question:

Verify $(x+y)^2=x^2+y^2+2xy$

To Prove :

$(x+y)^2=x^2+y^2+2xy$

Solution:

$(x+y)^2\\\\\\=(x+y)\times(x+y)\\\\\\=x(x+y)+y(x+y)\\\\\\=x^2+xy+xy+y^2\\\\\\=x^2+y^2+2xy$

Hence Verified

Extra Information:

Some Algebra 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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