How do you multiply $(2b+5a)^2$ ?

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Answer 1 · 2016-12-21T04:53:34

$4b^2 + 20ab + 25a^2$

We can expand this expression as:

$(2b + 5a)^2 -> (2b + 5a)(2b + 5a)$

Now we can cross multiple the terms in each set of parenthesis:

$(2b + 5a)(2b + 5a) ->$

$(2b*2b) + (2b*5a) + (5a*2b) + (5a*5a) ->$

$4b^2 + 10ab + 10ab + 25a^2$

Next we can add like terms:

$4b^2 + (10 + 10)ab + 25a^2$

$4b^2 + 20ab + 25a^2$

How do you multiply (2b+5a)^2(2b+5a)^2?