Which expressions represent a difference of squares?

Mathematics

1 answer:

andrew-mc [135]3 years ago

4 0

Answer:

$25 {x}^{2} - 36\\ 1-16x^2\\4x^2 - 12x + 9$

Step-by-step explanation:

$25 {x}^{2} - 36 \\ = ( {5x})^{2} - ( {6})^{2} \\$

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Find the value of x and simplify completely.

jok3333 [9.3K]

Answer:

Given: A right triangle in which an altitude is drawn from the right angle vertex to the hypotenuse.

To find: 'x' the larger leg of triangle

Solution,

Using let rule for similarity in right triangle:

$\frac{leg}{part} = \frac{hypotenuse}{leg} \\ or \: \frac{x}{27} = \frac{3 + 27}{x} \\ or \: x \times x = 27(3 + 27) \\ or \: x \times x = 81 + 729 \\ or \: {x}^{2} = 810 \\ or \: {x}^{2} = 81 \times 10 \\ or \: {x} = \sqrt{81 \times 10} \\ or \: x = \sqrt{81} \times \sqrt{10} \\ or \: x = \sqrt{ {(9)}^{2} } \times \sqrt{10} \\ \: x = 9 \sqrt{10}$