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zimovet [89]
4 years ago
12

(2x² + 3x - 5)(-x² + 7x + 2)​

Mathematics
1 answer:
Alexxandr [17]4 years ago
6 0

Answer:

-2x^4 + 11x^3 + 30x^2 - 29x - 10

Step-by-step explanation:

1. Use the Distributive Property

(2x^2 + 3x - 5)(-x^2 + 7x + 2)

2. Remove parenthesis

2x^2(-x^2 + 7x + 2) + 3x(-x^7x+2) - 5(-x^2 + 7x + 2)

3. Collect like terms

-2x^4 + 14x^3 + 4x^2 - 3x^3 + 21x^2 + 6x + 5x^2 - 35x - 10

4. -2x^4 + 11x^3 + 30x^2 - 29x - 10

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Read 2 more answers
Fill in the blanks in the following proof.
NARA [144]

Answer:

Table :

     Statements                 Reasons

1)ΔEGC≅ΔEGB                 Given

2)EB = EC                          Corresponding Parts of Congruent

                                          Triangles are Congruent

3) BC = BE                         Given

4) By 2 and 3                      EB≅EC≅BC

5)∠BEC = 60°                     ΔBEC is an equilateral triangle

Step-by-step explanation:

We are given that BE = BC  ---1

We are also given that ΔEGC≅ΔEGB

So, BE = CE(Corresponding Parts of Congruent Triangles are Congruent) ---2

Now By 1 and 2

BE=BC=CE

In ΔBEC

BE=BC=CE

Since all sides are equal . So, it is an equilateral triangle

All angles of equilateral triangle are also equal i.e. 60°

So, ∠BEC = 60°

Hence proved

Table :

     Statements                 Reasons

1)ΔEGC≅ΔEGB                 Given

2)EB = EC                          Corresponding Parts of Congruent

                                          Triangles are Congruent

3) BC = BE                         Given

4) By 2 and 3                      EB≅EC≅BC

5)∠BEC = 60°                     ΔBEC is an equilateral triangle

7 0
3 years ago
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