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3 years ago

Which steps are needed to solve this equation?

Mathematics

2 answers:

Oksana_A [137]3 years ago

6 0

Answer:

A- Subtract 6 from both sides of the equation. The answer is b= 15.

For this equation, you need to do the opposite of the number in the same side of the variable. So, there is a +6. To get rid of the +6, you need to be -6.

6-6=0

21-6=15

You will be left with b on one side, and then 15 on the other side.

Step-by-step explanation:

Sauron [17]3 years ago

3 0

Answer:

D. Add 21 to both sides of the equation.

The answer is b = 198.

Check the solution by substituting 198 for b.

Step-by-step explanation:

D. 21-21= 177+21=198

198-21=177

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Step-by-step explanation:

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The greatest common factor is the biggest number taken from the values.

Q1. The answer is A. 5y^6

$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
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$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
We will use the rule $x^{a}* x^{b} =x^{a+b}$ to factorise the exponents:
$12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}= \\ =12x*y^{2}*y^{3}+5*12*x* x^{3} *y^{2}-2*12x* x^{2} *y*y^{2}= \\ =12xy^{2}*y^{3}+12xy^{2}*5 x^{3} -12xy^{2}*2 x^{2} y= \\ =12xy^{2}(y^{3}+5 x^{3}-2 x^{2} y)$
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