Which of the following is equal to x -2 x -3 -A- x2-5 x-6B- x2-3 x-6C- x2-4 x-6D- x2-2 x-6

The correct option is A x^2 +5x+6 nbsp; We know that: (x+a) (x+b) = x^2+x(a+b) +ab ⇒ nbsp; (x+2) (x+3) = x^2+x(2+3) + 2 × 3 ⇒ nbsp; (x+2) (x+3) = x^2+5x ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (x + a)(x + b) = x^2 + (a + b)x + ab

Which of the ...

Question

Which of the following is equal to $(x + 2) (x + 3) ?$

$x^{2} + 5 x + 6$

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$x^{2} + 4 x + 6$

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$x^{2} + 3 x + 6$

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$x^{2} + 2 x + 6$

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Solution

The correct option is A
$x^{2} + 5 x + 6$

We know that:

$(x + a) (x + b) = x^{2} + x (a + b) + a b$

$\Rightarrow (x + 2) (x + 3) = x^{2} + x (2 + 3) + 2 \times 3$

$\Rightarrow (x + 2) (x + 3) = x^{2} + 5 x + 6$

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Similar questions

Four alternative options are given for each of the following statements. Select the correct option.

What is the product (x + 2) (x − 3)?

A. 2x − 6

B. 3x − 2

C. x² − x − 6

D. x² − 6x

Q. The expansion of

(x + \frac{1}{x} + 2)^{2}

is :

Solve graphically.

(1)

(2)

(3)

(4)

(5)

(6)

Q. Tick (✓) the correct answer:
(x + 5)(x − 3) = ?
(a) x² + 5x − 15
(b) x² − 3x − 15
(c) x² + 2x + 15
(d) x² + 2x − 15

Divide polynomial $x^{4} + 4 x^{3} + 6 x^{2} + 4 x + 5$ by $x^{2} + 1$ and find the quotient.

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Which of the following is equal to (x+2)(x+3)?

The correct option is A x2+5x+6 We know that: (x+a)(x+b)=x2+x(a+b)+ab ⇒(x+2)(x+3)=x2+x(2+3)+2×3 ⇒(x+2)(x+3)=x2+5x+6

Which of the following is equal to $(x + 2) (x + 3) ?$

The correct option is A
$x^{2} + 5 x + 6$

We know that:

$(x + a) (x + b) = x^{2} + x (a + b) + a b$

$\Rightarrow (x + 2) (x + 3) = x^{2} + x (2 + 3) + 2 \times 3$

$\Rightarrow (x + 2) (x + 3) = x^{2} + 5 x + 6$