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2 years ago

Question 1 of 20 Multiply. (4x - 5)^2

Mathematics

2 answers:

Andrei [34K]2 years ago

8 0

Answer:

B) 16x² - 40x + 25

Step-by-step explanation:

1) Use square differences: (a - b)² = a² - 2ab + b².

$(4x)^{2} - 2 \times 4x \times 5 + {5}^{2}$

2)Use Multiplication Distributive Property: (xy)^a = x^a y^a.

${4}^{2} {x}^{2} - 2 \times 4x \times 5 + {5}^{2}$

3) Simplify 4² to 16.

$16 {x}^{2} - 2 \times 4x \times 5 + {5}^{2}$

4) Simplify 5² to 25.

$16 {x}^{2} - 2 \times 4x \times 5 + 25$

5) Simplify 2 × 4x × 5 to 40x.

${16x}^{2} - 40x + 25$

Thus, the Anwer is Option B) 16x² - 40x + 25 .

Arisa [49]2 years ago

7 0

(4x - 5)^2
Multiply the equation by itself.
(4x - 5)(4x - 5)
Start by multiplying 4x by 4x.
Move on to multiplying 4x by -5.
Multiply -5 by 4x.
Multiply -5 by -5.
16x^2 - 20x - 20x + 25
Combine like terms.
16x^2 - 40x + 25

Answer: B

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<h3>Answer:</h3>

$\boxed{\boxed{\pink{\sf \leadsto Hence \ the \ area \ of \ shaded \ region \ is 264 cm^2}}}$

<h3>Step-by-step explanation:</h3>

Here , two circles are given which are concentric. The radius of larger circle is 10cm and that of smaller circle is 4cm . And we need to find thelarea of shaded region.

From the figure it's clear that the area of shaded region will be the difference of areas of two circles.

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Radius of smaller circle be r .
Radius of smaller circle be r .
Area of shaded region be $\bf Area_{shaded}$

$\bf \implies Area_{Shaded}= Area_{bigger}-Area_{smaller} \\\\\bf\implies Area_{Shaded} = \pi R^2 - \pi r^2 \\\\\bf\implies Area_{shaded} = \pi ( R^2-r^2) \\\\\bf\implies Area_{shaded} = \pi [ (10cm)^2 - (4cm)^2] \\\\\bf\implies Area_{shaded} = \pi [ 100cm^2-16cm^2] \\\\\bf\implies Area_{shaded} = \pi \times 84cm^2 \\\\\bf\implies Area_{shaded} = \dfrac{22}{7}\times 84cm^2 \\\\\bf\implies \boxed{\red{\bf Area_{shaded} = 264 cm^2 }}$

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____ [38]

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<h3>Solving equations</h3>

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