Question

Write as a product: 16−(3−4b)^2

Answer 1

Answer:

(7-4b)(1+4b)

Step-by-step explanation:

16 - (3 - 4b)^2

= (4)^2 - (3 - 4b)^2

={4+ ( 3 - 4b)}{4- ( 3 - 4b)}

= (4+3 - 4b)(4 - 3 +4b)

= (7-4b)(1+4b)

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Answer 2

Given : The given algebraic expression is, 16 - (3-4b)²

To find : To express the given algebraic expression as a product.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to express the given algebraic expression, as a product)

Here, we will be using algebraic identities, whenever necessary.

So,

= 16 - (3-4b)²

= (4)² - (3-4b)²

= [4 + (3-4b)] [4 - (3-4b)]

= (4+3-4b) (4-3+4b)

= (7-4b) (1+4b)

(This will be considered as the final result of the given mathematical problem.)

Used identity :

• a²-b² = (a+b) (a-b)

Hence, the answer is (7-4b) (1+4b)