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mamaluj [8]
3 years ago
13

What is the product? (4y − 3)(2y2 + 3y − 5)

Mathematics
2 answers:
amm18123 years ago
7 0

Answer:  The required product is 8y^3+6y^2-29y+15.

Step-by-step explanation:  We are given to find the following product :

P=(4y-3)(2y^2+3y-5).

To find the given product, we need to multiply each term of the first expression to each term of the second expression.

The multiplication is as follows :

P\\\\=(4y-3)(2y^2+3y-5)\\\\=4y(2y^2+3y-5)-3(2y^2+3y-5)\\\\=8y^3+12y^2-20y-6y^2-9y+15\\\\=8y^3+6y^2-29y+15.

Thus, the required product is 8y^3+6y^2-29y+15.

Mkey [24]3 years ago
6 0
All ya got to do is break is down

Step 1) 4y(2y2+3y-5)-3(2y2+3y-5)
Step 2) 8y3+12y2-20y-3(2y2+3y-5)
Step 3) 8y3+12y2-20y-(6y2+9y-15)
Step 4) 8y3+12y2-20y-6y2-9y+15
Step 5) 8y3+(12y2-6y2)+(-20y-9y)+15

Then you got to simplify and you have to

Leave the

8y3 +

12-6= number y2 -

-20-9=- number y

Then leave the 15



Sorry your doing the same math as me so I get carried away :p


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Step-by-step explanation:

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Fill in the blank with a constant, so that the resulting expression can be factored as the product of two linear expressions: 2a
Vitek1552 [10]

Answer:

2ab - 6a + 5b - 15

Step-by-step explanation:

Given

2ab - 6a + 5b + \_

Required

Fill in the gap to produce the product of linear expressions

2ab - 6a + 5b + \_

Split to 2

(2ab - 6a) + (5b + \_)

Factorize the first bracket

2a(b - 3) + (5b + \_)

Represent the _ with X

2a(b - 3) + (5b + X)

Factorize the second bracket

2a(b - 3) + 5(b + \frac{X}{5})

To result in a linear expression, then the following condition must be satisfied;

b - 3 = b + \frac{X}{5}

Subtract b from both sides

b - b- 3 = b - b+ \frac{X}{5}

- 3 = \frac{X}{5}

Multiply both sides by 5

- 3 * 5 = \frac{X}{5} * 5

X = -15

Substitute -15 for X in 2a(b - 3) + 5(b + \frac{X}{5})

2a(b - 3) + 5(b + \frac{-15}{5})

2a(b - 3) + 5(b - \frac{15}{5})

2a(b - 3) + 5(b - 3)

(2a + 5)(b - 3)

The two linear expressions are (2a+ 5) and (b - 3)

Their product will result in 2ab - 6a + 5b - 15

<em>Hence, the constant is -15</em>

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3 years ago
What is a solution to the inequality m&lt;25
ella [17]

Answer:

I think the answer is m= -91

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