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<span><span> 8x24-27y6</span> </span>Final result :<span> (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)
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Step by step solution :<span> Step 1 :</span>Skip Ad
<span>Equation at the end of step 1 :</span><span><span> (8 • (x24)) - 33y6
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span> 23x24 - 33y6
</span><span> Step 3 :</span>Trying to factor as a Difference of Squares :
<span> 3.1 </span> Factoring: <span> 8x24-27y6</span>
Theory : A difference of two perfect squares, <span> A2 - B2 </span>can be factored into <span> (A+B) • (A-B)
</span>Proof :<span> (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 - AB + AB - B2 =
<span> A2 - B2</span>
</span>Note : <span> AB = BA </span>is the commutative property of multiplication.
Note : <span> - AB + AB </span> equals zero and is therefore eliminated from the expression.
Check :<span> 8 is not a square !!
</span>Ruling : Binomial can not be factored as the
difference of two perfect squares
Trying to factor as a Difference of Cubes:
<span> 3.2 </span> Factoring: <span> 8x24-27y6</span>
Theory : A difference of two perfect cubes, <span> <span>a3</span> - <span>b3</span> </span> can be factored into
<span> (a-b) • (a2 +ab +b2)</span>
Proof : <span> (a-b)•(a2+ab+b2) =
<span>a3</span>+<span>a2b</span>+<span>ab2</span>-<span>ba2</span>-<span>b2a</span>-<span>b3</span> =
<span>a3</span>+(<span>a2b</span>-<span>ba2</span>)+(<span>ab2</span>-<span>b2a</span>)-<span>b3</span> =
<span>a3</span>+0+0+<span>b3</span> =
<span>a3</span>+<span>b3</span></span>
Check : 8 is the cube of 2
Check : 27 is the cube of 3
Check :<span> x24</span> is the cube of <span> x8</span>
Check :<span> y6</span> is the cube of <span> y2</span>
<span>Factorization is :
</span> <span> <span>(2x8 - 3y2)</span> • </span><span> (4x16 + 6x8y2 + 9y4)</span>
Trying to factor as a Difference of Squares :
<span> 3.3 </span> Factoring: <span> 2x8 - 3y2</span>
Check :<span> 2 is not a square !!
</span>Ruling : Binomial can not be factored as the
difference of two perfect squares
Trying to factor a multi variable polynomial :
<span> 3.4 </span> Factoring <span> 4x16 + 6x8y2 + 9y4</span>
Try to factor this multi-variable trinomial using trial and error<span>
</span>Factorization fails
Final result :<span> (2x8 - 3y2) • (4x16 + 6x8y2 + 9y4)
</span>
Answer: -6x^2 + 3x + 4
Step-by-step explanation:
It is not parallel. The fact that there is more space between the lines on one side than the other (mk is shorter than nL) shows that the lines must be angled differently, and thus, would eventually intersect.
Answer:
Step-by-step explanation:
I don't know what a tape diagram is but I can give you the equation and the answer.
Let Victor have x points
Let Maria have y points
y = x + 424
y/x = 5/3 Cross multiply
3y = 5x Divide by 3
y = 5x/3 I Could have just multiplied by x
y = x + 424
5x/3 = x + 424 Multiply both sides by 3
5x = 3x + 1272 Subtract 3x from both sides.
5x-3x = 1272 Combine the left.
2x = 1272 Divide by 2
2x/2 = 1272/2
x = 636
Victor Scored 636 points
Maria Scored 636 + 424 = 1060
Answer:
A diagonal
Step-by-step explanation:
