Factor the polynomial. 25 – x²

Mathematics

2 answers:

matrenka [14]3 years ago

8 0

Answer: Hello Luv......

Since both terms are perfect squares, factor using the difference of squares formula, a2−b2=(a+b)(a−b) where a=5 and b=x

(5+x)(5−x)

Step-by-step explanation:

Mark me brainest please.

Hope this helps you.

Anna ♥

katovenus [111]3 years ago

7 0

Answer:

(5 + x)(5 - x)

Step-by-step explanation:

Hope this helps!

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steposvetlana [31]

The two curves $y=x$ and $y=x^{1/15}$ intersect at $x=0$ and $x=1$ , with $x^{1/15}\ge x$ over $0\le x\le1$ .

Washer method

$\displaystyle\pi\int_0^1\left(\left(x^{1/15}\right)^2-x^2\right)\,\mathrm dx=\pi\int_0^1\left(x^{2/15}-x^2\right)\,\mathrm dx=\pi\left(\frac{15}{17}-\frac13\right)=\boxed{\frac{28\pi}{51}}$

Shell method

We have $y=x^{1/15}\implies x=y^{15}$ . The curves $x=y$ and $x=y^{15}$ intersect at $y=0$ and $y=1$ , with $y\ge y^{15}$ over $0\le y\le1$ .

$\displaystyle2\pi\int_0^1y\left(y-y^{15}\right)\,\mathrm dy=2\pi\int_0^1\left(y^2-y^{16}\right)\,\mathrm dy=2\pi\left(\frac13-\frac1{17}\right)=\boxed{\frac{28\pi}{51}}$