Download App

Algebraic Expressions and Identities — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSAlgebraic Expressions and Identities1 Mark
MCQ
Which are the standard identities?
  • A
    $(a+b)^2=a^2+2 a b+b^2(a-b)^2=a^2-2 a b+b^2$ and $(x+a)(x+b)=x^2+(a-b) x+a b$
  • B
    $(a-b)^2=a^2-2 a b+b^2 a^2-b^2=(a+b)(a-b)$ and $(x+a)(x+b)=x^2+(a-b) x+a b$
  • C
    $(a+b)^2=a^2+2 a b+b^2 a^2-b^2=(a+b)(a-b)$ and $(x+a)(x+b)=x^2+(a-b) x+a b$
  • ✓
    $(a+b)^2=a^2+2 a b+b^2(a-b)^2 a^2 2 a b+b^2$ and $a^2-b^2=(a+b)(a-b)$
✓

Answer

Correct option: D.
$(a+b)^2=a^2+2 a b+b^2(a-b)^2 a^2 2 a b+b^2$ and $a^2-b^2=(a+b)(a-b)$
D.  $(a+b)^2=a^2+2 a b+b^2(a-b)^2 a^2 2 a b+b^2$ and $a^2-b^2=(a+b)(a-b)$
Solution:
$(a+b)^2=a^2+2 a b+b^2(a-b)^2=a^2-2 a b+b^2$ and $a^2-b^2=(a+b)(a-b)$ identities are known as standard identities.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "M.C.Q. [1 Marks Each]" from Algebraic Expressions and Identities→Algebraic Expressions and Identities — all question types→MATHS STD 8 question papers→Gujarat Board STD 8 question papers→Gujarat Board question paper generator→

Similar questions

There are $2$ Red, $3$ Blue and $5$ Black balls in a bag. A ball is drawn from the bag without looking in to the bag. What is the probability of getting a non-red ball?
→
The weight of 12 sheets of a thick paper is 40 grams. How many sheets would weigh 1 kg ?
→
A perfect square that lies between $40$ and $50$ is:
→
Tick the correct answer in the following: In a spinning wheel, there are $3$ white and $5$ green sectors. It is spinned. What is the probability of getting a green sector$?$
→
What is the one’s digit in the cube root of the cube number $4096$?
→
Which of the following is a perfect cube?
→
If the simple interest on a sum of money at $5 \%$ per annum for 3 years is ₹ 1200 then the compound interest on the same sum for the same period at the same rate will be
→
Tick $(\checkmark)$ the correct answer in the folllowing: A car is travelling at a uniform speed of $75\ km/hr$. How much distance will it cover in $20$ minutes?
→
The marked price of an article is $10 \%$ more than the cost price and a discount of $10 \%$ is given on the marked price. The seller has
→
The number of zeroes at the end of the cube of the number $100$ is:
→