Question

Add
a2 + 2ab + b2 ; 2a2 – 3ab + 5b2 ; 4a2 – ab - 7b2

Answer 1

Step-by-step explanation:

To add:-

$\\ \sf{:}\longrightarrow (a^2+2ab+b^2)+(2a^2-3ab+5b^2)+(4a^2-ab-7b^2)$

Solution:-

$\\ \sf{:}\longrightarrow (a^2+2ab+b^2)+(2a^2-3ab+5b^2)+(4a^2-ab-7b^2)$

• Removing brackets

$\\ \sf{:}\longrightarrow a^2+2ab+b^2+2a^2-3ab+5b^2+4a^2-ab-7b^2$

• Combining like variables

$\\ \sf{:}\longrightarrow a^2+2a^2+4a^2+2ab-3ab-ab+b^2+5b^2-7b^2$

$\\ \sf{:}\longrightarrow 7a^2-2ab-b^2$

$\\ \\ \therefore\sf{(a^2+2ab+b^2)+(2a^2-3ab+5b^2)+(4a^2-ab-7b^2)=7a^2-2ab-b^2}$