Consider the expressions below.
A. 11x^2 + 6x - 6,
B. 7x^2 + 16x + 25,
C. 11x^2 - 5x + 13,
D. 7x^2 - 3x + 8.

For each expression below, select the letter that corresponds to the equivalent expression given above.

1. (x^2 +15x + 65) + (2x - 5) (3x +8).
2. (4x + 1)(3x - 4) - (5x^2 - 10x - 12).
3. (8x^2 + 19x + 4) + (3x + 2)(x - 5).
4. (6x + 1) (3x - 7) - (7x^2 - 34x - 20).

Respuesta :

Answer:

Step-by-step explanation:

(2x-5)(3x+8)

6x^2-15x+16x-40

6x^2+x-40

(x^2+15x+65)+(6x^2+x-40)

7x^2+16x+25

Answer: B)

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(4x+1)(3x-4)=12x^2+3x-16x-4=12x^2-13x-4

(12x^2-13x-4)-(5x^2-10x-12)=7x^2-3x+8

Answer: D)

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(3x+2)(x-5)=3x^2+2x-15x-10=3x^2-13x-10

(8x^2+19x+4)+(3x^2-13x-10)=11x^2+6x-6

Answer: A)

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(6x+1)(3x-7)=18x^2+3x-42x-7=18x^2-39x-7

(18x^2-39x-7)-(7x^2-34x-20)

11x^2-5x+13

Answer: C)

7x²+16x+25  is corresponds to the equivalent expression of (x²+15x+65) + (2x - 5) (3x +8).

7x²-3x+8 is corresponds to the equivalent expression of (4x + 1)(3x - 4) - (5x²-10x-12)

11x²+6x-6 is corresponds to the equivalent expression of (8x²+19x+4) + (3x + 2)(x - 5).

11x²-5x+13 is corresponds to the equivalent expression of (6x + 1)(3x - 7) - (7x²-34x-20)

What is expression?

Expressions is the defined as mathematical statements that have a minimum of two terms containing variables or numbers.

Given expression no. 1 as :

⇒ (x²+15x+65) + (2x - 5) (3x +8).

⇒ x²+15x+65 + 6x²-15x+16x-40

7x²+16x+25

Hence, the correct answer would be option (B).

Given expression no. 2 as :

⇒ (4x + 1)(3x - 4) - (5x²-10x-12)

⇒ 12x²+3x-16x-4 - 5x²+10x+12

⇒ 12x²-13x-4 - 5x²+10x+12

7x²-3x+8

Hence, the correct answer would be option (D).

Given expression no. 3 as :

⇒ (8x²+19x+4) + (3x + 2)(x - 5).

⇒ (8x²+19x+4) + 3x²+2x-15x-10

⇒ 8x²+19x+4 + 3x²-13x-10

11x²+6x-6

Hence, the correct answer would be option (A).

Given expression no. 4 as :

⇒ (6x + 1)(3x - 7) - (7x²-34x-20)

⇒ 18x²+3x-42x-7- 7x²+34x+20)

11x²-5x+13

Hence, the correct answer would be option (C).

Learn more about Expressions here:

brainly.com/question/21751419

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