Expand and simplify. (x+4)squared

2 answers:

8 0

(x+4)²= (x+4)×(x+4)

Use the FOIL method to simplify

F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)

x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16

Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x

Final expression= x² + 8x + 16

Setler79 [48]3 years ago

6 0

$(x+4)^2 = x^2 + 2(x)(4) + 4^2 .....................(By-identity) \\ \\ => x^2 + 8x + 16$

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DEF is a dilation image of ABC. What is the scale factor?

horsena [70]

Answer:

Option (2)

Step-by-step explanation:

ΔDEF is a dilation image of ΔABC.

Rule for the dilation,

Scale factor = $\frac{\text{Length of one side of the image triangle}}{\text{Length of one side of the original triangle}}$

= $\frac{DE}{AB}$

= $\frac{4}{8}$

= $\frac{1}{2}$

Therefore, scale factor by which ΔABC is dilated is $\frac{1}{2}$ .

Option (2) will be the correct option.

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2 years ago

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HACTEHA [7]

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