What's 9-7? This one is VERY hard

Mathematics

2 answers:

Lady_Fox [76]4 years ago

8 0

Answer:

Step-by-step explanation:

-=left

rusak2 [61]4 years ago

5 0

Answer:

2 lol

Step-by-step explanation:

basic subtraction

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Factor the expression below. 9x^2-1 A. (3x - 1)(3x - 1) B. (3x - 1)(3x + 1) C. (x - 1)(9x - 1) D. (x - 1)(9x + 1)

aliya0001 [1]

Answer:

(3x + 1) • (3x - 1)

Step-by-step explanation:

Step by Step Solution

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STEP

Equation at the end of step 1

3 ${}^{2}$ x ${}^{2}$ - 1

STEP

Trying to factor as a Difference of Squares:

2.1 Factoring: 9x ${}^{2}$ -1

Theory : A difference of two perfect squares, A ${}^{2}$ - B ${}^{2}$ can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A ${}^{2}$ - AB + BA - B2 =

A ${}^{2}$ - AB + AB - B2 =

A ${}^{2}$ - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 9 is the square of 3

Check : 1 is the square of 1

Check : x ${}^{2}$ is the square of x1

Factorization is : (3x + 1) • (3x - 1)

Final result :

(3x + 1) • (3x - 1)

6 0

2 years ago

Part A: The decimal form of the rational number 3/40 is

Gnom [1K]

$\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\begin{gathered}\boxed{\begin{array}{c | } \\ \bf{Part \: A} & \bf \footnotesize{The \: decimal \: form \: of \: the \: rational \: number \: \dfrac{3}{40} \: is \: \gray{ \normalsize{ 0.075 }}} \\ \\ \hline \\ \bf{Part \: B}& \: \bf \footnotesize{The \: value \: of \: \dfrac{1}{ \sqrt[4]{(9)^{ - 2} } } \: is \: \normalsize 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: } \\ \\ \hline \\ { \bf Part \:C \: }& \: { \bf\footnotesize{On \: simplifying \: \: (5+3 \sqrt{7} ) + (12 - 3 \sqrt{7}) \: we \: get \: \normalsize{ 17 }. \: \: \: \: \: \: \: \: }} \\ \\ \end{array}}\end{gathered}\end{gathered}\end{gathered}\end{gathered}\end{gathered}$

$\bf \underline{Answer-} \\$

${ \bf{Part \: A \: | \: \footnotesize{The \: decimal \: form \: of \: the \: rational \: number \: \dfrac{3}{40} \: is \: \gray{ \normalsize{ 0.075 }}}}}$