Well, what happens when you multiply out the RHS? Can you show those steps to see how close you get to the LHS?MiddleEast said:Homework Statement: NA
Relevant Equations: NA
Hello,
While following problem solution found this $$ 4a^4 + 8 a^3 + 8 a^2 + 4a + 1 = ( 2a (a+1) + 1 )^2 $$
Trying to figure out how did author do it but failed.
Anyone?
Try rewriting ##8a^2## as ##4a^2+4a^2##. I'm not sure what would motivate that other than trying to write the first three terms as a perfect square.MiddleEast said:Homework Statement: NA
Relevant Equations: NA
Hello,
While following problem solution found this $$ 4a^4 + 8 a^3 + 8 a^2 + 4a + 1 = ( 2a (a+1) + 1 )^2 $$
Trying to figure out how did author do it but failed.
Anyone?
If the RHS is a perfect square, then it must be of the form ##(\alpha a^2 + \beta a +1)^2##.MiddleEast said:Homework Statement: NA
Relevant Equations: NA
Hello,
While following problem solution found this $$ 4a^4 + 8 a^3 + 8 a^2 + 4a + 1 = ( 2a (a+1) + 1 )^2 $$
Trying to figure out how did author do it but failed.
Anyone?
Algebraic equations are used to represent and solve mathematical problems in a concise and organized way.
Understanding algebraic steps requires a strong foundation in basic math concepts and the ability to think abstractly, which can be challenging for some individuals.
Practice, practice, practice! The more you work with algebraic equations and solve problems, the more familiar you will become with the steps and concepts involved.
Some common mistakes include forgetting to apply the distributive property, mixing up signs, and not following the correct order of operations.
Breaking down the problem into smaller steps, using visual aids or manipulatives, and seeking help from a teacher or tutor are all helpful strategies for understanding algebraic steps.