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2 years ago

12

Factorize

a {}^{2} - 9b {}^{2} " alt="a {}^{2} - 9b {}^{2} " align="absmiddle" class="latex-formula">

2 answers:

AleksAgata [21]2 years ago

4 0

1^2 (a-9b)

Not sure but hope it helps :)

lakkis [162]2 years ago

3 0

Answer:

(a - 3b)(a + 3b)

Step-by-step explanation:

a² - 9b²

(a)² - (3b)²

(a - 3b)(a + 3b)

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Bad White [126]

Part A

The given expression is:

$(-5(1+2i)+3i(3-4i)$

We expand to get:

$-5-10i+9i-12i^2$

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Part Bi)

The given expression is;

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$\sqrt{25\times 2\times -1}$

$\sqrt{25\times} \sqr{2}\times \sqrt{-1}$

Note that:

$\sqrt{-1}=i$

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This explains why it is a complex number;

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Part C

We want to simplify:

$i^{22}$

We rewrite in terms of $i^2$

$i^{22}=(i^2)^{11}$

$i^{22}=(-1)^{11}$

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