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skad [1K]
3 years ago
6

Select all that apply. Which of the following contributed to an increase in world population in the 20th century?Improved medici

ne and sanitation
An increase in food production
Disease
An increase in the average life expectancy
History
2 answers:
solong [7]3 years ago
8 0
The answer on which of the following contributed to an increase in world population in the twentieth century is all of the things given above. The improved medicine and sanitation, the increase in food production, Disease and the increase in the average life expectancy all contributed to the increase of world population.
pashok25 [27]3 years ago
3 0
Hey there. Your answers are A. and B.
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The factor of 2ax^2+4axy+3bx^2+2ay^2+6bxy^+3by^2
grigory [225]

Answer:

2ax^2+4axy+3bx^2+2ay^2+6bxy+3by^2= (x+y)^2(2a+3b)

Explanation:

Given

2ax^2+4axy+3bx^2+2ay^2+6bxy+3by^2

Required

Factorize

2ax^2+4axy+3bx^2+2ay^2+6bxy+3by^2

Rewrite as:

2ax^2+4axy+2ay^2+3bx^2+6bxy+3by^2

Use square parenthesis

[2ax^2+4axy+2ay^2]+[3bx^2+6bxy+3by^2]

Expand each bracket

[2ax^2+2axy+2axy+2ay^2]+[3bx^2+3bxy+3bxy+3by^2]

Factorize each:

[2ax(x+y) + 2ay(x+y)]+[3bx(x+y)+3by(x+y)]

[(2ax+2ay)(x+y)]+[(3bx+3by)(x+y)]

Further, factorize:

(x+y)[(2ax+2ay)]+[(3bx+3by)]

(x+y)[(2ax+2ay)+(3bx+3by)]

Remove bracket

(x+y)[2ax+2ay+3bx+3by]

Reorder:

(x+y)[2ax+3bx+2ay+3by]

Factorize:

(x+y)[x(2a+3b)+y(2a+3b)]

(x+y)[(x+y)(2a+3b)]

Remove square bracket

(x+y)(x+y)(2a+3b)

This gives:

(x+y)^2(2a+3b)

Hence:

2ax^2+4axy+3bx^2+2ay^2+6bxy+3by^2= (x+y)^2(2a+3b)

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Answer:

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