How do you simplify the product #(5x + 7)(7x + 3)# and write it in standard form?

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Answer 1 · 2018-03-11T07:23:03

#35x^2 + 64x + 21#

#(5x+7)(7x+3)#

Standard form means in the form #ax^2 + bx + c#, where a, b, and c are the coefficients.

First, we distribute this expression:
#5x * 7x = 35x^2#

#7 * 7x = 49x#

#5x * 3 = 15x#

#7 * 3 = 21#

Now when we put them all together we get:
#35x^2 + 49x + 15x + 21#

Now we simplify to get the final answer by adding #49x# and #15x#:

#35x^2 + 64x + 21#