Which of the following are the factors of 4b2 − 16?

Mathematics

2 answers:

slava [35]3 years ago

4 0

4b^2 - 16 =
4(b^2 - 4) =
4(b + 2)(b - 2)

Ede4ka [16]3 years ago

4 0

Answer:

$4(b+2)(b-2)$

Step-by-step explanation:

We have been given an expression and we are asked to find the factors of our given expression.

$4b^2-16$

First of all we will factor out 4 from our given expression.

$4(b^2-4)$

We can see that $b^2-4$ is difference of squares, so we can factor it using difference of squares formula: $a^2-b^2=(a+b)(a-b)$ .

$4(b^2-2^2)$

$4(b+2)(b-2)$

Therefore, the factored form of our given expression is $4(b+2)(b-2)$ .

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2 years ago

A sphere has a diameter of 4 x 10^-3 mm. What is the approximate volume of the sphere? Use 3.14 for pi.

kolezko [41]

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$3.349 \times {10}^{ - 10} \: {mm}^{3}$

Step-by-step explanation:

$d = 4 \times {10}^{ - 3} \: mm \\ r = 2 \times {10}^{ - 3} \: mm \\ V_{sphere} = \frac{4}{3} \pi {r}^{3} \\ = \frac{4}{3} \times 3.14 \times {(2 \times {10}^{ - 3} )}^{3} \\ = \frac{4}{3} \times 3.14 \times 8\times {10}^{ - 9} \\ = \frac{100.48}{3} \times {10}^{ - 9} \\ = 33.4933333\times {10}^{ - 9} \\ = 33.49 \times {10}^{ - 9} \\ = 3.349 \times {10}^{ - 10} \: {mm}^{3}$