1subtract and simplify.

(y2−3y−5)−(−y2−7y+4)

2y2+4y−9

−2y2−10y−1

−2y2−7y+1

2y2−10y+4

2 multiply and simplify.

6xy3z⋅3x2yx2

18x4y3z

18(xyz)10

18x5y4z

9x5y4z

3 simplify.

−3x3(−2x2+4x−3)

−5x5+x4−6x3

−6x6−12x4+9x3

6x5−12x4+9x3

6x6−12x3+9

4 what is the coefficient of the second term of the trinomial?

(6p+2)2=36p2+bp+4

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5 simplify.

(x−5)(x2−2x−6)

x3−7x2+16x+30

x3−7x2+4x+30

x3+x2−4x+30

x3−5x2+10x+30

!

Answers for each part  (1) 2y^2+4y−9

            (2) 18x^5y^4z

             (3) 6x^5−12x^ 4+9x^3

             (4) The Coefficient for second term is  24

             (5) x^3−7x^2+4x+30

The Simplifications can be done as follows  

(1)  There are two given simple polynomial expressions which are given for simplification. On subtracting the second expression from the first expression we get

(2)

This is question of multiplication of polynomial  expressions which can be done as follows

(3) This is question of multiplication of polynomial  expressions  which can be done as follows

−3x3(−2x2+4x−3)

(4)

The polynomial expression with three terms is called as trinomial expression. On expansion of the given expression according to the formula  of  we get

The coefficient of second term of the trinomial = 24

(5)

This is  a problem of polynomial expression multiplication

According to the identity

On expansion we get the expression

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where is the figure