Question

Evaluate 27y^2 + 125z^3 by using suitable identity.​

Answer 1

27y³ + 125z³ = (3y+5z)(9y² - (3y×5z) + 25z²)

= (3y + 5z)(9y² - 15yz + 25z²)

I used the identity a³+b³ = (a+b)(a²-ab+b²)

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Answer 2

Answer :

Step by step explanation :-

$\rightarrow27{y}^{3} + 125{z}^{3}$

• Write in expontential form.

$\rightarrow{3}^{3} {y}^{3} + {5}^{3} {z}^{3}$

• Calculate the products.

$\rightarrow({3y})^{3} + ({5z})^{3}$

• Factor the obtained expression.
• Identity using :- ${a}^{3} + {b}^{3} = (a + b)({a}^{2} - ab + {b}^{2}$

$\rightarrow(3y + 5z)(({3y})^{2} - 3y × 5z + ({5z})^{2})$

$\rightarrow(3y + 5z)(9{y}^{2} - 15yz + 25{z}^{2})$

Thank you !!

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