Question

expand 1. ( 2× + 3y )²
2. (5×-6y)²​

Answer 1

Given :

• (2x + 3y)²
• (5x - 6y)²

To Find :

• To Expand

Solution :

❶. (2x + 3y)²

⟼ (2x + 3y) (2x - 3y)

⟼ 2x (2x + 3y) + 3y (2x + 3y)

⟼ 4x² + 6xy + 3y (2x + 3y)

⟼ 4x² + 6xy + 6xy + 9y²

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❷. (5x - 6y)²

⟼ (5x + 6y) (5x - 6y)

⟼ 5 (5x - 6y) - 6y (5x - 6y)

⟼ 25x² - 30xy - 6y (5x - 6y)

⟼ 25x² - 30xy - 30xy + 36y²

⟼ 25x² - 60xy + 36y²

____________

More To Know :

• A polynomial is expanded if no variable appears within parentheses and all like terms have been combined.

• To expand a polynomial, multiply its factors (often by using the distributive property) or perform the indicated operations. Then combine all like terms.

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Answer 2

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❥ ( 2x + 3y)²

{ using identity :- (a + b)² = a² + 2ab + b² }

➠ ( 2x ) ² + 2 (2x) (3y) + ( 3y ) ²

➠ 4x ² + 12 xy + 9 y ²

❥ ( 5x - 6y )²

{ using identity :- ( a- b) ² = a²- 2ab + b²}

➠ ( 5x ) ² - 2 (5x)(6y) + ( 6y ) ²

➠ 25 x ² - 60 xy + 36 y ²

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$\large \mathcal {\underline{ \fcolorbox{cyan}{black}{ \orange{Marks As Brainliest :-}}}}$