Question 83

$$(4x + 3y)^{2} + (4x - 3y)^{2}$$ is equal to:

Solution

Expression : $$(4x + 3y)^{2} + (4x - 3y)^{2}$$

= $$(16x^2 + 9y^2 + 24xy) + (16x^2 + 9y^2 - 24xy)$$

= $$(16x^2 + 16x^2) + (9y^2 + 9y^2) + (24xy - 24xy)$$

= $$32 x^2 + 18y^2$$

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