Question

How do we easily learn the products formulas?

Answer 1

The most important thing is to understand how the formulas are derived. The derivations are well explained in our tutorial videos.

Once we understand the derivation, solve and practice as many questions as possible based on them.

A formula chart can also be prepared and revise it as much as possible. Eventually, they will be learned with practice.

Formulas:
$(a+b{)}^2=(a+b\left)\right(a+b)=a^2+2ab+b^2(a-b{)}^2=(a-b)(a-b)=a^2-2ab+b^2(a+b{)}^3=(a+b\left)\right(a+b\left)\right(a+b)=(a+b\left)\right(a^2+2ab+b^2)=a^3+3a{b}^2+3a^{2}b+b^3(a-b{)}^3=(a-b)(a-b)(a-b)=(a-b)(a^2-2ab+b^2)=a^3+3a{b}^2-3a^{2}b+b^3$
$\begin{array}{cc}Sumofsquares:a^2+b^2=(a+b{)}^2-2ab{a}^2+b^2=(a-b{)}^2+2ab& Differenceofsquares:a^2-b^2=(a+b)(a-b)\\ Sumofcubes:a^3+b^3=(a^2-ab+b^2)(a+b)& Differenceofcubes:a^3-b^3=(a^2+ab+b^2)(a-b)\end{array}$