SOLUTION: How would you simplify a problem such as (4t + 7)^2? I was thinking that what you would do is regroup it by first writing it as (4t-7)* (4t-7)and then from there grouping the two

Algebra.Com
Question 253687: How would you simplify a problem such as (4t + 7)^2?
I was thinking that what you would do is regroup it by first writing it as (4t-7)* (4t-7)and then from there grouping the two 4ts together and the -7's together; like this (16t)* (49). From there I was thinking that you would then try and get t by itself so that I could solve for it and that to do that I would need to divide 16 from both sides so that the resulting answer would be something like t(49/16). Would that be right?

Found 2 solutions by Alan3354, jim_thompson5910:
Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
How would you simplify a problem such as (4t + 7)^2?
----------------
= 16t^2 + 56t + 49

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!

Start with the given expression.


Expand. Remember something like .


Now let's FOIL the expression.


Remember, when you FOIL an expression, you follow this procedure:


Multiply the First terms:.


Multiply the Outer terms:.


Multiply the Inner terms:.


Multiply the Last terms:.


---------------------------------------------------
So we have the terms: , , ,


Now add every term listed above to make a single expression.


Now combine like terms.


So FOILs to .


In other words, .

RELATED QUESTIONS

The problem says "A cylindrical tank has a volume of 300 gallons. A similar tank next to... (answered by Alan3354,Theo)
Hi could you please help me? This is the question: What is the equation of a line that is (answered by fractalier)
How do you show that a number is rational, by writing it as a quotient of two integers?... (answered by dabanfield)
When you have a problem such as 3y-7y=28, how would you simplify the problem? Would it be (answered by funmath)
ie: 101 was not added at the start via: dillusion of mental psychology tactics, this is... (answered by diluzion)
How do you show that the number is rational by writing it as a quotient of two in tigers... (answered by ikleyn)
I have a problem from an old homework that i still can't solve. How do you solve it?... (answered by algebrapro18)
How do you show that the number is rational by writing it as a quotient of two... (answered by longjonsilver)
Solving Systems of Linear Equations by the Substitution Method. I am having a... (answered by stanbon)