Mathematics: (x +1)^2-5x(x+3)(x-3)

(x +1)^2-5x(x+3)(x-3) - id1253314379699, jessejames48

taylorraffle8662

19.09.2021

$\huge \boxed{\mathfrak{Question} \downarrow}$

(x + 1)² - 5x (x + 3)(x - 3)

$\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}$

$( x + 1 ) ^ { 2 } - 5 x ( x + 3 ) ( x - 3 )$

Use binomial theorem $\left(a+b\right)^{2}=a^{2}+2ab+b^{2}$ to expand $\left(x+1\right)^{2}$ .

$x^{2}+2x+1-5x\left(x+3\right)\left(x-3\right)$

Use the distributive property to multiply -5x by x+3.

$x^{2}+2x+1 + (-5x^{2}-15x)(x-3)$

Use the distributive property to multiply $-5x^{2}-15x$ by x-3 and combine like terms.

$x^{2}+2x+1-5x^{3}+45x$

Combine 2x and 45x to get 47x.

$\boxed{\boxed{\bf\:x^{2}+47x+1-5x^{3} }}$

Follow the same steps till $x^{2}+2x+1-5x^{3}+45x$ and then use the algebraic identity ⇨ a + 2ab + b² = (a + b)²

$\boxed{\boxed{\bf\:-5x^{3}\left(x+1\right)^{2}+45x}}$

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gaby4567

21.08.2021

4.2

Step-by-step explanation:

logb(16b³) = logb(16) + logb(b³)

= logb(2⁴) + 3logb(b)

= 4logb(2) + 3

= 4(0.300) + 3

= 1.2 + 3

= 4.2

1) split into factors regarding which information is available

2) use power law to make the power a multiple

3) substitute values using the data given, also loga(a) is always 1

(log a to base a is 1)

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