Question

Expand and combine like terms.

(7b^5-b^2)^2=

Answer 1

Answer:

Step-by-step explanation:it can be solved by the formula: (a-b)'2

Where a=7b'5 and b= b'2

=49b'10+b'4-14b'7

Answer 2

The expanded and simplified form of the given expression is 49b^10 - 14b^7 + b^4.

Opening the brackets and reverting the equation to its initial form denotes expanding. Bringing  together terms that not only share a variable but also share that variable's strength is referred to as  combining like terms.

To expand the expression $(7b^5 - b^2)^2$, we can use the formula for squaring a binomial, which is:

$(a - b)^2 = a^2 - 2ab + b^2$

In this case, we have $a = 7b^5$ and$b = b^2,$ Thus, we can change these values in the formula:

$(7b^5 - b^2)^2 = (7b^5)^2 - 2(7b^5)(b^2) + (b^2)^2$

Simplifying each term, we get:

$(7b^5)^2 = 49b^10$

$2(7b^5)(b^2) = 14b^7$

$(b^2)^2 = b^4$

Therefore,  $(7b^5 - b^2)^2 = 49b^10 - 14b^7 + b^4$

So the expanded and simplified form of the given expression is$49b^10 - 14b^7 + b^4.$

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