Question

Write down the algebraic expression whose terms are :

$a^3,-5a^{2}b,6a{b}^2,-3b^4$

Answer 1

Formation of algebraic expression by the terms :

Given

Terms : $a^3,-5a^{2}b,6a{b}^2,-3b^4$

Removing commas between the terms and putting "$+$" sign in between the terms , we will get the algebraic expression

So Algebraic expression $=$$a^3+\left(-5a^{2}b\right)+6a{b}^2+\left(-3b^4\right)$

$=a^3-5a^{2}b+6a{b}^2-3b^4$

Therefore, Algebraic expression formed is : ${\mathit{a}}^{\mathbf{3}}\mathbf{-}\mathbf{5}{\mathit{a}}^{\mathbf{2}}\mathit{b}\mathbf{+}\mathbf{6}\mathit{a}{\mathit{b}}^{\mathbf{2}}\mathbf{-}\mathbf{3}{\mathit{b}}^{\mathbf{4}}$.