3 years ago

Factor completely. m4 - n4

Mathematics

1 answer:

dimulka [17.4K]3 years ago

3 0

Answer:

m^4-2m^2n^2+n^4

Step-by-step explanation:

hope this helps!

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What number must you add to complete the square x^2+12x=40

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Step-by-step explanation:

x²+12x=40

(x+6)²-6²-40=0

(x+6)²-76 = 0

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3 years ago

“A rectangle has a width of 8 inches and a perimeter of 30 inches. What is the perimeter, in inches, of a similar rectangle with

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45 in

Step-by-step explanation:

8/30 = 12/x

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First number:

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Answer:

900

Step-by-step explanation:

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3 years ago

Solve the following quadratic equation by completing the square: x^2-12x+5=7 <br> PLS HELP ASAP

pav-90 [236]

Answer:

${x}^{2} - 12x + 5 = 7$

i) move constants to the right-hand side and change its sign

${x}^{2} - 12 {x} = 7 - 5$

ii) subtract the numbers

${x}^{2} - 12x = 2$

iii) add (12/2)² to both sides of the equation

${x}^{2} - 12x + ( \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2}$

iv) using a²-2ab+b²=(a-b)² , factorize the expression

$(x - \frac{12}{2} ) {}^{2} = 2 + ( \frac{12}{2} ) {}^{2}$

v) calculate the value

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$(x - \frac{12}{2}) {}^{2} = 38$

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$(x - 6) {}^{2} = 38$

vii) solve the equation for x

$x - 6 = + - \sqrt{38}$

1) first value of x

$x - 6 = \sqrt{38}$

$x = \sqrt{38} + 6 \: or \: 12.16$

2) second value of x

$x - 6 = - \sqrt{38}$

$x = - \sqrt{38} + 6 \: or \: - 0.16$

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3 years ago

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