How do you simplify the expression (5x-2)^{2}

rabunztr

rabunztr

Answered question

2022-02-11

How do you simplify the expression (5x2)2

Answer & Explanation

liiipstick0j2

liiipstick0j2

Beginner2022-02-12Added 14 answers

Explanation:
To solve this problem first you rewrite as follows:
(5x-2)(5x-2):
Then you proceed to FOIL it:
Where you multiply the first term with the outer term then you multiply the first term with the inner term:
(5x)(5x)=25x2
(5x)(-2)=-10x
Now you multiply the last term with the outer term then you multiply the last term with the inner term:
(-2)(5x)=-10x
(-2)(-2)=4
Now combine them:
25x210x10x+4
Simplify:
25x220x+4
Kristian Willis

Kristian Willis

Beginner2022-02-13Added 6 answers

Express (5x2)2 as (5x-2)(5x-2)
each term in the second bracket is multiplied by each term in
the first bracket
(5x-2)(5x-2)
=5x(5x-2)-2(5x-2)
=(5x×5x)+(5x×2)+(2×5x)+(2×2)
=25x2+(10x)+(10x)+4
=25x210x10x+4
=25x220x+4

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