Question

Expand (2x – 3)^3

plz expand it​

Answer 1

we know that: $(a+b)^{3}= a^{3}+3a^{2}b+3ab^{2} +b^{3}$

Therefore,

$(2x-3)^{3}=(2x)^{3}+3*(2x)^{2} *3+3*2x*(3)^{2}+(3)^{3}\\ = 8x^{3} +36x^{2} +54x^{2} +27$

and here is another one: $(a+b)^{3}=a^{3}+b^{3}+3ab(a+b)$

Therefore,

$(2x-3)^{3}=(2x)^{3}+(3)^{3}+3*2x*3(2x+2)\\ =8x^{3}+27+18x(2x+2)$