Expansion of 6-5 x y6-5 x y isA- 18-5 x2 y2B- 36-25 x2 y2C- 36-24 x2 y2D- 36-25 x2 y

The correct option is B 36 25x^2y^2Given: (6 5xy)(6 + 5xy) This is in the form of nbsp; (a b)(a + b). We know that, (a b)(a + b)=a^2 b^2 ∴ nbsp;(6 ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (a - b)(a + b) = a^2 - b^2

Expansion of ...

Question

Expansion of $(6 - 5 x y) (6 + 5 x y)$ is .

18 - 5 x^{2} y^{2}

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36 - 25 x^{2} y^{2}

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36 - 24 x^{2} y^{2}

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36 - 25 x^{2} y

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Solution

The correct option is B $36 - 25 x^{2} y^{2}$
Given: $(6 - 5 x y) (6 + 5 x y)$
This is in the form of $(a - b) (a + b)$ .
We know that,
$(a - b) (a + b) = a^{2} - b^{2}$
$∴ (6 - 5 x y) (6 + 5 x y) = (6)^{2} - (5 x y)^{2}$
$= 36 - 25 x^{2} y^{2}$

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Similar questions

Q. State whether the statement is True or False:

(6 - 5 x y) (6 + 5 x y)

is equal to

36 - 25 x^{2} y^{2}

(-18) + (-36) ÷ (-6) - 5 x (-2) =?

Simplify (6 - 5 x y) (6 + 5 x y) using an

algebraic identity.

Q. How do you solve

\frac{6}{18} = \frac{x}{36}

In a question

Blue -18,Yellow-3,Green-9,Red-6

Total=36

Blue=18/36×360

=180

Are those steps right?

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Expansion of (6−5xy)(6+5xy) is .

The correct option is B 36−25x2y2Given: (6−5xy)(6+5xy) This is in the form of (a−b)(a+b). We know that, (a−b)(a+b)=a2−b2 ∴(6−5xy)(6+5xy)=(6)2−(5xy)2 =36−25x2y2

Expansion of $(6 - 5 x y) (6 + 5 x y)$ is .

The correct option is B $36 - 25 x^{2} y^{2}$
Given: $(6 - 5 x y) (6 + 5 x y)$
This is in the form of $(a - b) (a + b)$ .
We know that,
$(a - b) (a + b) = a^{2} - b^{2}$
$∴ (6 - 5 x y) (6 + 5 x y) = (6)^{2} - (5 x y)^{2}$
$= 36 - 25 x^{2} y^{2}$