4x^2y^7(-7x^6z^9+2y^3+6z^3)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

Step-by-step explanation:

1) Distribute

4x²y⁷(-7x⁶z⁹ + 2y³ + 6z³)

-28x⁸y⁷z⁹ + 8x² y ¹⁰ + 24x²y⁷z³

-28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

Step-by-step explanation:

4x^2y^7(-7x^6z^9+2y^3+6z^3)

Expanding:

= -28x^8y^7z^9 + 8x^2y^10 + 24x^2y^7z^3.

.

step-by-step explanation:

geometry: triangles

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answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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