Question

Write the examples of the cube of the sum of two terms and use the formula to expand.

Answer 1

Expressions of the form (a + b)³ are:

(1) ${\left(3x+2y\right)}^3=27x^3+8y^3+54x^{2}y+36x{y}^2$
(2) ${\left(2x+4y\right)}^3=8x^3+64y^3+48x^{2}y+96x{y}^2$
(3) ${\left(\frac{3}{2}x+y\right)}^3=\frac{27}{8}{x}^3+y^3+\frac{27}{4}{x}^{2}y+\frac{9}{4}x{y}^2$
(4) ${\left(7m+3n\right)}^3=343m^3+27n^3+441m^{2}n+189m{n}^2$
(5) ${\left(3p+\frac{2}{3}q\right)}^3=27p^3+\frac{8}{27}{q}^3+18p^{2}q+4p{q}^2$