Can someone explain how to do these

do you want me to further factorise them??

see explanation

Step-by-step explanation:

(3)

Multiply numerator/denominator of fraction by

2 + ×

= 2 +

= 2 + = 3

(6)

Multiply numerator/denominator of fraction by

× - 3

= - 3

= 4 - 3 =

(9)

Multiply numerator/denominator of fraction by

× - 3

= - 3

= 7 - 3 = 4

geometry: triangles

solvers

lessons

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+

25.45584

1. a^4+8a^3+24a^2+32a+16

2.y^8+8y^7+28y^6+56y^5+70y^4+56y^3+28y^2+8y+1

3.x^6-3x^4y^2+3x^2y^4-y^6