Question

Simplify the expression: (4x^2 - 3x + 2) × (2x + 5).

Answer 1

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), we can use the distributive property. 

First, distribute 4x^2 to both terms inside the second parentheses:

4x^2 × 2x + 4x^2 × 5 = 8x^3 + 20x^2

Next, distribute -3x to both terms inside the second parentheses:

-3x × 2x - 3x × 5 = -6x^2 - 15x

Finally, distribute 2 to both terms inside the second parentheses:

2 × 2x + 2 × 5 = 4x + 10

Now, we can combine all the simplified terms:

(8x^3 + 20x^2) + (-6x^2 - 15x) + (4x + 10)

Simplifying further:

8x^3 + (20x^2 - 6x^2) + (-15x + 4x) + 10

Resulting in the simplified expression:

8x^3 + 14x^2 - 11x + 10.

Answer 2

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), we need to distribute each term in the first expression to every term in the second expression and then combine like terms. 

Using the distributive property, we get: 

(4x^2 - 3x + 2) × (2x + 5) = 8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10

Simplifying by combining like terms, we get: 

8x^3 + 14x^2 - 11x + 10

Therefore, the simplified expression is 8x^3 + 14x^2 - 11x + 10.

Answer 3

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), you can use the distributive property of multiplication over addition:

(4x^2 - 3x + 2) × (2x + 5) = 4x^2 × (2x + 5) - 3x × (2x + 5) + 2 × (2x + 5)

Now let's simplify each term separately:

4x^2 × (2x + 5) = 8x^3 + 20x^2

-3x × (2x + 5) = -6x^2 - 15x

2 × (2x + 5) = 4x + 10

Putting it all together:

(4x^2 - 3x + 2) × (2x + 5) = 8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10

Combining like terms:

= 8x^3 + (20x^2 - 6x^2) + (-15x + 4x) + 10

Simplifying further:

= 8x^3 + 14x^2 - 11x + 10

So, the simplified expression is 8x^3 + 14x^2 - 11x + 10.

Answer 4

Expanding the expression using distributive property, we get:

(4x^2 - 3x + 2) × (2x + 5) = 8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10

Simplifying the terms, we get:

(4x^2 - 3x + 2) × (2x + 5) = 8x^3 + 14x^2 - 11x + 10

Therefore, the simplified expression is 8x^3 + 14x^2 - 11x + 10.

Answer 5

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), we can use the distributive property of multiplication over addition.

(4x^2 - 3x + 2) × (2x + 5) can be expanded as:

4x^2 × 2x + 4x^2 × 5 - 3x × 2x - 3x × 5 + 2 × 2x + 2 × 5

Simplifying further:

8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10

Combining like terms:

8x^3 + (20x^2 - 6x^2) + (4x - 15x) + 10

Simplifying the terms inside parentheses:

8x^3 + 14x^2 - 11x + 10

Therefore, the simplified expression is 8x^3 + 14x^2 - 11x + 10.

Answer 6

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), we can use the distributive property of multiplication over addition. First, distribute the first term, 4x^2, to both terms in the second parentheses: (4x^2 × 2x) + (4x^2 × 5). This gives us 8x^3 + 20x^2. Next, distribute the second term, -3x, to both terms in the second parentheses: (-3x × 2x) + (-3x × 5). This simplifies to -6x^2 - 15x. Finally, distribute the last term, 2, to both terms in the second parentheses: (2 × 2x) + (2 × 5). This yields 4x + 10. Combining all the simplified terms, we have 8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10. Simplifying further, the expression becomes 8x^3 + 14x^2 - 11x + 10.

Answer 7

(4x²-3x+2)(2x+5)= 4x²(2x+5) -3x(2x+5) +2(2x+5)

                                 =8x³+20x²-6x²-15x +4x +10

                                 =8x³+20x²-6x²-15x +4x +10

                                 = 8x³ +(20-6)x²+(-15+4)x +10

                                  = 8x³+14x²-11x+10

Thus the simplified form of a given expression (4x²-3×+2)(2x+5) becomes 8x³+14x²-11x+10

Answer 8

To simplify the expression (4x^2 - 3x + 2) × (2x + 5), you can use the distributive property, also known as FOIL (First, Outer, Inner, Last). Multiply each term in the first expression by each term in the second expression and then combine like terms:

(4x^2 - 3x + 2) × (2x + 5)

= 4x^2 * 2x + 4x^2 * 5 - 3x * 2x - 3x * 5 + 2 * 2x + 2 * 5

Now, perform the multiplications:

= 8x^3 + 20x^2 - 6x^2 - 15x + 4x + 10

Combine like terms:

= 8x^3 + (20x^2 - 6x^2) + (4x - 15x) + 10

= 8x^3 + 14x^2 - 11x + 10

So, the simplified expression is 8x^3 + 14x^2 - 11x + 10.