Which of the following identities can be used to factorise nbsp-x-2 - 12x - 36-x - a-2-x - a-2-x-2 - a-2-None of the above-

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Mathematics

Factorization by Using Quadratic Identities

Which of the ...

Question

Which of the following identities can be used to factorise $x^{2} + 12 x + 36$ ?

(x - a)^{2}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(x + a)^{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(x^{2} - a^{2})

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of the above.

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $(x + a)^{2}$
Given: $x^{2} + 12 x + 36$ .

Since, the last number of the given expression is a perfect square, we can use the identity $(x + a)^{2} = x^{2} + 2 x a + a^{2}$ where, $a = 6$ .

Suggest Corrections

Similar questions

Using the remainder Theorem, factorise each of the following completely:
(i) $3 x^{3} + 2 x^{2} - 19 x + 6$
(ii) $2 x^{3} + x^{2} - 13 x + 6$
(iii) $3 x^{3} + 2 x^{2} - 23 x - 30$
(iv) $4 x^{3} + 7 x^{2} - 36 x - 63$
(v) $x^{3} + x^{2} - 4 x - 4.$

Q. Which of the following identities can be used to factorise

x^{2} + 12 x + 36

Q. Which of the following identities can be used to factorise

x^{2} + 12 x + 36

Q. Factorise the following using identities.

x^{2} + 12 x + 36

Q. Factorise the following using appropriate identities.

x^{2} + 5 x + 6

Join BYJU'S Learning Program

Which of the following identities can be used to factorise x2+12x+36?

The correct option is B (x+a)2Given: x2+12x+36. Since, the last number of the given expression is a perfect square, we can use the identity (x+a)2=x2+2xa+a2 where, a=6.

Which of the following identities can be used to factorise $x^{2} + 12 x + 36$ ?

The correct option is B $(x + a)^{2}$
Given: $x^{2} + 12 x + 36$ .

Since, the last number of the given expression is a perfect square, we can use the identity $(x + a)^{2} = x^{2} + 2 x a + a^{2}$ where, $a = 6$ .