(3m+5n)(9m²-15mn+25n²)
1) Let's factorize 27m³ +125n³.
27m³ +125n³ <em>Let's use x³ +y³ product to factorize that</em>
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x³ +y³ = (x +y)(x²-xy +y²)
2) So let's rewrite it, since 3³ = 27 and 5³ = 125
27m³ +125n³ =
Plug x =3m and y = 5n into those factors (x +y)(x²-xy +y²)
27m³ +125n³= (3m + 5n)(3²m² -5n*3m +5²n²)
27m³ +125n³= (3m+5n)(9m² - 15mn +25n²)
3) So the answer is
(3m+5n)(9m²-15mn+25n²)
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Answer:
Options B and Option C
Step-by-step explanation:
Translation, rotation and reflection are the rigid transformations in which shape and size of the figure remains unchanged.
While dilation and stretch will change the area of the figure.
Therefore, Options B and Option C will show the Henry's claim incorrect.
Let
x = number of minutes of local calls.
y = number of minutes of international calls.
By writing the system of equations we have:
0.06x + 0.15y = 69.84
x + y = 852
Solving the system
Clear y from equation two
y = 852-x
Replace y in equation 1
0.06x + 0.15 (852-x) = 69.84
Clear x
0.06x + 127.8 - 0.15x = 69.84
127.8 - 69.84 = 0.15x -0.06x
57.96 = 0.09x
x = 57.96 / 0.09 = 644
x = 644
Replace x in any of the two equations and clear y:
x + y = 852
y = 852-644
y = 208
answer
number of minutes of local calls = 644
number of minutes of international calls = 208
Answer:
(7 x 8) - 3 - 5 = 48
Step-by-step explanation:
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Answer:
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