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3 years ago

3y^2-16y-12 factor by grouping

1 answer:

5 0

(y - 6)(3y + 2)

Take the y^2 coefficient 3 and multiply the constant by it, to get y^2 - 16y - 36

Find two numbers that multiply to 36 and add to -16, which are -18 and 2. Use these numbers as the second term in the polynomial, to get (y - 18)(y + 2).

Divide the numbers by the original coefficient
3, and if there’s a fraction, move the denominator to the coefficient of the variable.

(y - 18/3)(y + 2/3) —> (y - 6)(3y + 2)

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The distance between Logan airport and Framingham a car can cover in 20 min. Logan Express bus can cover this distance in 30 min

Ronch [10]

That's a pretty confusing one. I think it's 10 minutes.

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3 years ago

Hey! Can someone check my answers?

Andrew [12]

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

Q1. The answer is <span>A. 5y^6
</span>
$20 y^{9} +5 y^{6}= 4*5 y^{9}+5 y^{6}$
Since $x^{a}* x^{b} =x^{a+b}$ , then $x^{9}= x^{3}* x^{6}$

Back to our expression:
$4*5 y^{9}+5 y^{6}=4*5 y^{3}*y^{6}+5 y^{6}=4 y^{3}*5y ^{6}+ 5y ^{6}*1=5 y^{6} (4y ^{3} +1)$
The greatest common factor is thus $5 y^{6}$

Q2. The answer is <span>D. 12xy^2
</span>
$12x y^{5}+60 x^{4} y^{2} -24 x^{3} y^{3}=12x y^{5}+5*12 x^{4} y^{2} -2*12 x^{3} y^{3}$
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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3 0

3 years ago

Find the cube root of 27d3 + 54a2b + 36ab2 + 8b3

enot [183]

Answer:

(3a + 2b)3

Step-by-step explanation:

STEP 1 :

Equation at the end of step 1

(((27•(a3))+((54•(a2))•b))+(36a•(b2)))+23b3

Step 2:

(((27•(a3))+((54•(a2))•b))+(22•32ab2))+23b3

Step 3:

(((27•(a3))+((2•33a2)•b))+(22•32ab2))+23b3

Step 4:

((33a3 + (2•33a2b)) + (22•32ab2)) + 23b3

Step 5:

Factoring: 27a3+54a2b+36ab2+8b3

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2 years ago

Which of the follow is true about the expression Sqrt 3 * sqrt 2

ahrayia [7]

Were doing the same test its a.

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2 years ago

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2 years ago