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Maru [420]
3 years ago
11

Question 1 (1 point)

Mathematics
1 answer:
olga55 [171]3 years ago
6 0

Answer:

1) 2y^{2}+4y-9

2) 18x^{5}y^{4}z

3) 6x^{5}-12x^{4}+9x^{3}

4) 40

5) x^{3}-7x^{2}+3x+36


Step-by-step explanation:

1) Distribute the negative sign that is outside the parentheses and then you must add like terms, as following:

(y^{2}-3y-5)-(-y^{2}-7y+4)=y^{2}-3y-5+y^{2}+7y-4=2y^{2}+4y-9

2) According to the Product property of exponents, when you multiply powers with the same base, you must add the exponents. Then:

(6xy^{3}z)(3x^{2}yx^{2})=18x^{5}y^{4}z

3) Apply the Distributive property and the Product property of exponents. Then, you obtain:

-3x^{3}(-2x^{2}+4x-3)=6x^{5}-12x^{4}+9x^{3}

4) (4a+5)^{2} is a square of a sum, then, by definition you have:

(a+b)^{2}=a^{2}+2ab+b^{2}

Then:

(4a+5)^{2}=(4a)^{2}+2(4a)(5)+5^{2}=16a^{2}+40a+25

The coefficient of the second term is the number in front of the variable <em>a.</em> Then, the answer is: 40

5)  Apply the Distributive property and the Product property of exponents, then, oyou must add the like terms:

(x-4)(x^{2}-3x-9)=x^{3}-3x^{2}-9x-4x^{2}+12x+36=x^{3}-7x^{2}+3x+36

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