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3 years ago

Factorize 64x³+343y³

Mathematics

1 answer:

Licemer1 [7]3 years ago

6 0

64x³+343y³

= (4x)³ + (7y)³

= (4x+7y)[(4x)^2+(7y)^2-(4x)(7y)]

= (4x+7y)(16x^2+49y^2-28xy)

Answer: (4x+7y)(16x^2+49y^2-28xy)

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Answer:

Option B, 14.6 units

Step-by-step explanation:

Step 1: Find the distance of AB

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$AB =$ $\sqrt{(3 - 1)^2 + (5 - 3)^2}$

$AB =$ $\sqrt{(2)^2 + (2)^2}$

$AB =$ $2\sqrt{2}$ or 2.83...

Step 2: Find the distance of BC

$BC =$ $\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$BC = \sqrt{(3 -1)^2 + (-1 - 3)^2}$

$BC = \sqrt{(2)^2 + (-4)^2}$

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$BC = 2\sqrt{5}$ or 4.47...

Step 3: Find the perimeter

AB is the same as AD and BC is the same as DC

$2(AB) + 2(BC)$

$2(2.83) + 2(4.47)$

$5.66 + 8.94$

14.6 units

Answer: Option B, 14.6 units

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Sophie [7]

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