3x +4y का वर्ग क्या है
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(3x + 4y)² = 9x² + 24xy + 16y²
Given:
The expression (3x + 4y)
To find:
Square of (3x + 4y)
Concept:
Before we solve the problem, we must know some algebraic identities:
• (a + b)² = a² + 2ab + b²
• (a - b)² = a² - 2ab + b²
What does squaring a number or an expression mean?
It simply means that we are finding its product with itself.
For example, (a + b)²
= (a + b) × (a + b)
= a × (a + b) + b × (a + b)
= a² + ab + ba + b²
= a² + ab + ab + b², since multiplication is commutative
= a² + 2ab + b²
Step-by-step explanation:
Now, (3x + 4y)²
= (3x)² + 2 × 3x × 4y + (4y)²
= 9x² + 24xy + 16y²
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