Expand and combine like terms.
(3z^5+7z^2)^2
Answers
Answer:
Answer:51z^7 + 49z^4
Answer:51z^7 + 49z^4 Step-by-step explanation:
Answer:51z^7 + 49z^4 Step-by-step explanation:(3z^5 + 7z^2)² hence, (a+b)²= a²+ 2ab + b²
Answer:51z^7 + 49z^4 Step-by-step explanation:(3z^5 + 7z^2)² hence, (a+b)²= a²+ 2ab + b²= (3z^5)² + 2(3z^5)(7z^2) + (7z^2)²
Answer:51z^7 + 49z^4 Step-by-step explanation:(3z^5 + 7z^2)² hence, (a+b)²= a²+ 2ab + b²= (3z^5)² + 2(3z^5)(7z^2) + (7z^2)²= 9z^7 + 52z^7 + 49z^2
Answer:51z^7 + 49z^4 Step-by-step explanation:(3z^5 + 7z^2)² hence, (a+b)²= a²+ 2ab + b²= (3z^5)² + 2(3z^5)(7z^2) + (7z^2)²= 9z^7 + 52z^7 + 49z^2= 61z^7 + 49z^2
The expanded and combined solved version of the given algebraic expression is .
The general formula of the expansion of the square of the sum of two variables is :
Here, we need to expand for :
So, in comparison to the above formula, we can consider
We expand the given algebraic expression with the variable "z" in the form of a square of the sum of powers of "z" using the above expansion technique. By this, we get independent terms of evaluated powers of z which can be further combined for like terms and simplified.
Thus, applying the above formula of expansion :
Hence, the expanded and combined solved version of the given algebraic expression is .
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