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Greeley [361]
2 years ago
11

How do you factorise 2k + 10ak

Mathematics
1 answer:
wolverine [178]2 years ago
8 0

Hii!

____________________________________________________________

\rightsquigarrow\circ\boldsymbol{Answer}\circ\leftharpoonup

2k(1+5a) <em>or </em>2k(5a+1)

\rightsquigarrow\circ\boldsymbol{Explanation.}\circ\leftharpoonup

First of all, let's find the common term of this binomial (an expression with two terms; the prefix bi- means "two")

Note that both terms have 2k in them. So, we factor it out.

\twoheadrightarrow\sf 2k\div2k+10ak\div2k

\bullet <em>Simplify</em>

<em />\twoheadrightarrow\sf 1+5a

\bullet <em>2k can't just vanish into thin air, so we put it outside the parentheses:</em>

<em />\twoheadrightarrow\sf 2k(1+5a)

\bullet <em>Great job! We factored the expression successfully</em>

<em />

<em>--</em>

Hope that this helped! Best wishes.

\textsl{Reach far. Aim high. Dream big.}\\\boldsymbol{-Greetings!-}

--

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Lelechka [254]

Answer:

77.  \cot^{6} x = \cot^{4} x \csc^{2}x - \cot^{4} xProved

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79. \cos^{3} x\sin^{2} x = [\sin^{2}x - \sin^{4}x] \cos x Proved.

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Step-by-step explanation:

77. Left hand side

= \cot^{6} x

= \cot^{4} x \times \cot^{2} x

= \cot^{4}x [\csc^{2}x - 1]  

{Since we know, \csc^{2} x - \cot^{2}x = 1}

= \cot^{4} x \csc^{2}x - \cot^{4} x  

= Right hand side (Proved)

78. Left hand side

= \sec^{4}x \tan^{2} x

= \sec^{2} x [1 + \tan^{2}x] \tan^{2} x  

{Since \sec^{2}x - \tan^{2}x = 1}

= \sec^{2}x [\tan^{2}x + \tan^{4}x ]

= Right hand side (Proved)

79. Left hand side  

= \cos^{3} x\sin^{2} x

= \cos x[1 - \sin^{2} x] \sin^{2} x

{Since \sin^{2}x + \cos^{2} x = 1}

= [\sin^{2}x - \sin^{4}x] \cos x

= Right hand side

80. Left hand side  

= \sin^{4}x - \cos^{4}x

= [\sin^{2}x + \cos^{2}x]^{2} - 2\sin^{2} x \cos^{2}x

{Since \sin^{2}x + \cos^{2} x = 1}

= 1 - 2\cos^{2} x[1 - \cos^{2}x ]

= 1 - 2\cos^{2}x + 2 \cos^{4} x

= Right hand side. (Proved)

7 0
3 years ago
What is the mean of 7, 10, 13, 4, 12, 21, 10, 3
Serga [27]
The mean is

7+10+13+4+12+21+10+3/8

=80/8

= 10

Hope it helps

Mark as brainliest.
8 0
2 years ago
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I need help to find this answer
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Answer:

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Step-by-step explanation:

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6 0
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