Identify the appropriate formula that can be used to find the value of $(50 \frac{1}{4} \times 49 \frac{3}{4})$

(a + b) (a - b) = a^{2} + b^{2}

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

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

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

(a - b)^{2} = a^{2} - 2 a b + b^{2}

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

a^{3} + b^{3} = (a + b) (a^{2} + a b + b^{2})

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

Open in App

Solution

The correct option is C $(a + b) (a - b) = a^{2} + b^{2}$
$50 \frac{1}{4} = 50 + \frac{1}{4}$
$49 \frac{1}{4} = 50 - \frac{1}{4}$
so it becomes $(a + b) (a - b)$ where $a = 50$ and $b = \frac{1}{4}$

Suggest Corrections

Similar questions

Which of the following is correct?
a) $(a - b)^{2} = a^{2} + 2 a b - b^{2}$
b) $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
c) $(a - b)^{2} = a^{2} - b^{2}$
d) $(a + b)^{2} = a^{2} + 2 a b - b^{2}$

Q. Question 3

Which of the following is correct?
a)

(a - b)^{2} = a^{2} + 2 a b - b^{2}

(a - b)^{2} = a^{2} - 2 a b + b^{2}

(a - b)^{2} = a^{2} - b^{2}

(a + b)^{2} = a^{2} + 2 a b - b^{2}

Q. Which of the following equations are correct?

(i) (a + b + c)^{2} = a^{2} + b^{2} + c^{2} + 2 (a b + b c + c a)

(i i) (a + b)^{3} = a^{3} + b^{3} + 3 a b (a - b)

(i i i) (a - b)^{3} = a^{3} - b^{3} - 3 a b (a + b)

(i v) a^{2} - b^{2} = (a + b) (a - b)

Simplify $\frac{a - b}{a} + \frac{a + b}{b}$

a^{2} - b^{2} = (a + b) (a - b)

then factor of

1 + 2 a b - (a^{2} + b^{2})

are

Join BYJU'S Learning Program

Identify the appropriate formula that can be used to find the value of (5014×4934)

The correct option is C (a+b)(a−b)=a2+b25014=50+144914=50−14so it becomes (a+b)(a−b) where a=50 and b=14

Identify the appropriate formula that can be used to find the value of $(50 \frac{1}{4} \times 49 \frac{3}{4})$

The correct option is C $(a + b) (a - b) = a^{2} + b^{2}$
$50 \frac{1}{4} = 50 + \frac{1}{4}$
$49 \frac{1}{4} = 50 - \frac{1}{4}$
so it becomes $(a + b) (a - b)$ where $a = 50$ and $b = \frac{1}{4}$