Explanation

Explanation

Explanation

1 foot = 12 inches, so  

1 square foot = 12 inches × 12 inches = 144 square inches

Explanation

All except potatoes are fruits,

while the potato is a vegetable

Explanation

x³ + 1/x³ = (x + 1/x)³ − 3(x + 1/x)  

= 3³ − 3×3

= 27 − 9

= 18

Explanation

Explanation

1 square yard = 9 square feet  

So,  

1 square foot = 1 ÷ 9 = 0.111 sq yd 

Explanation

tan A + tan B = √2 + 1

Explanation

We know:

81 = 3⁴  

So,  

log₃ 81 = log₃ (3⁴) = 4

Explanation

Step 1: Multiply the coefficient of the first term by the constant term i.e. (6 x 1) = 6

Step 2: Find the two factors of 6  such that whose sum equals to the coefficient of the middle term, i.e. -5.

Thus, the factors are -3 and -2 as,

-3 × (-2) = 6 (Product)

-3 + (-2) = -5 (Sum)

The polynomial  after splitting the middle term by using the two factors, -3 and -2 can be written as

x² - 3x - 2x + 6 = 0    

x(x-3) -2(x-3) = 0

(x-3)(x-2) = 0