Question

Expand the following:
(5y-3z)²
Algebraic identities

Answer 1

Answer:

...

Step-by-step explanation:

(5y-3z)=(5y)2+2.5y×3z+(3z)2=5y2-30yz+9z2

Answer 2

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To expand :-

(5y-3z)²

Identity used :-

■ (a - b)² = a² + b² - 2ab

Solution :-

(5y-3z)²

= (5y)² + (3z)² - 2 × (5y) × (3z)

= 25y² + 9z² - 30yz

Other useful identities :-

■ (a - b)² = a² + b² - 2ab

■ (a + b)² = a² + b² + 2ab

■ a² - b² = (a + b)(a - b)

■ (x + a)(x + b) = x² + (a + b)x + ab

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