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# Vedic Math Sutra: Sutra 16 – Gunakasamuccayah

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Vedic Mathematics, an ancient mathematical system from India, has gained recognition for its exceptional simplicity and efficiency in tackling complex mathematical problems. At the heart of Vedic Math lies using Sutras, concise and potent formulas that empower individuals to perform rapid mental calculations.

In Gunakasamuccayah Sutra, the statement “The factors of the sum are equal to the sum of the factors” is a valuable tool for verifying the accuracy of results obtained through multiplication, division, and factorization processes.

#### Example 1

(x + 2) (x + 5) = x2 + 7x +10

As is seen in the above form, that

Sc of the product = Product of the Sc

(1+2) (1+5) = 1 + 7 +10

3 x 6 = 1+ 17

18 = 18

Hence Verified

#### Example 2

(x + 4) (x + 1) (x + 6) = x3 + 11×2 + 34x + 24

As is seen in the above form, that

Sc of the product = Product of the Sc

(1 + 4) (1 + 1) (1 + 6) = 1+ 11 + 34 + 24

5 x 2 x 7 = 12 + 58

70 = 70

Hence Verified

Recommended Reading: HOW VEDIC MATH CAN HELP GEN Z TO OVERCOME MATH FEAR

#### Wrapping Up!!

The Gunakasamuccayah Sutra holds the position of the 15th sutra in Vedic Mathematics. Introducing this sutra into mathematical exercises allows children to elevate their skill levels and acquire a handy technique to validate equations efficiently.

At Moonpreneur, we are aware of the evolving needs and challenges that this quickly advancing technological age brings for our young students. Because of this, our team of experts has carefully designed an Advanced Math course for students in grades 3, 4, 5, and 6. Through engaging, hands-on lessons, this course aims to develop children’s fundamental mathematical abilities while inspiring a genuine love of learning and empowering them to use math in everyday scenarios.  A writer with a talent to play with words and deliver impactful content. I have an undying love for literature, and firmly believe that pens have the power to change the course of human history!!
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