5(a−2b)2−2(a−2b)

Distribute:

=5a2+−20ab+20b2+(−2)(a)+(−2)(−2b)

=5a2+−20ab+20b2+−2a+4b

Answer:

=5a2−20ab+20b2−2a+4b

Verified answer

[tex]5( {a - 2b)}^{2} - 2(a - 2b) \\ \\ [/tex]

[tex] = 5(a - 2b)(a - 2b) - 2(a - 2b) \\ \{taking(a - 2b) \: common \} \\ [/tex]

we get,

[tex](a - 2b) \{5(a - 2b) - 2 \} \\ \\ [/tex]

[tex](a - 2b)(5a - 10b - 2)[/tex]

You can simplify it further but as your question suggest we have get this answer...Thus , it's your answer.

Hope it helps.

#BeBrainly :-)