Find the value of 5x-7y- 5x-7y-

We need to find the value of (5x+7y)× (5x 7y). As we know that, (a+b)× (a b) = a^2 b^2 Here, a= 5x and b = 7y (5x+7y)× (5x 7y) = (5x)^2 (7y)^2 (5x+7y)× (5x ...

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Byju's Answer

Standard VIII

Mathematics

Algebraic Identity: (x + y)(x - y)

Find the valu...

Question

Find the value of $(5 x + 7 y) \times (5 x - 7 y)$ .

25 x^{2} + 49 y^{2}

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25 x^{2} - 49 y^{2}

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5 x^{2} - 7 y^{2}

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Solution

The correct option is B $25 x^{2} - 49 y^{2}$
We need to find the value of $(5 x + 7 y) \times (5 x - 7 y)$ .
As we know that,
$(a + b) \times (a - b) = a^{2} - b^{2}$
Here, $a = 5 x$ and $b = 7 y$
$(5 x + 7 y) \times (5 x - 7 y) = (5 x)^{2} - (7 y)^{2}$
$(5 x + 7 y) \times (5 x - 7 y) = 25 x^{2} - 49 y^{2}$

The value of the expression $(5 x + 7 y) \times (5 x - 7 y)$ would be $25 x^{2} - 49 y^{2}$ .

Suggest Corrections

Find the value of (5x+7y)×(5x−7y).

The correct option is B 25x2−49y2We need to find the value of (5x+7y)×(5x−7y). As we know that, (a+b)×(a−b)=a2−b2 Here, a=5x and b=7y (5x+7y)×(5x−7y)=(5x)2−(7y)2 (5x+7y)×(5x−7y)=25x2−49y2 The value of the expression (5x+7y)×(5x−7y) would be 25x2−49y2.

Find the value of $(5 x + 7 y) \times (5 x - 7 y)$ .