# Substract 9x^2y^2-3x^2-5 from the sum of -6x^2y^2-x^2-1 and 5x^2y^2+2x^2-1

Amari Flowers 2021-09-06 Answered
Substract $$\displaystyle{9}{x}^{{2}}{y}^{{2}}-{3}{x}^{{2}}-{5}$$ from the sum of $$\displaystyle-{6}{x}^{{2}}{y}^{{2}}-{x}^{{2}}-{1}$$ and $$\displaystyle{5}{x}^{{2}}{y}^{{2}}+{2}{x}^{{2}}-{1}$$

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers

### Solve your problem for the price of one coffee

• Math expert for every subject
• Pay only if we can solve it

diskusje5
First, find the sum of the polynomials $$\displaystyle-{6}{x}^{{2}}{y}^{{2}}-{x}^{{2}}-{1}$$ and $$\displaystyle{5}{x}^{{2}}{y}^{{2}}+{2}{x}^{{2}}-{1}$$
Then,
$$\displaystyle{\left(-{6}{x}^{{2}}{y}^{{2}}-{x}^{{2}}-{1}\right)}+{\left({5}{x}^{{2}}{y}^{{2}}+{2}{x}^{{2}}-{1}\right)}=-{6}{x}^{{2}}{y}^{{2}}+{5}{x}^{{2}}{y}^{{2}}-{x}^{{2}}+{2}{x}^{{2}}-{1}-{1}$$
$$\displaystyle={\left(-{6}+{5}\right)}{x}^{{2}}{y}^{{2}}+{\left(-{1}+{2}\right)}{x}^{{2}}-{2}$$
$$\displaystyle=-{x}^{{2}}{y}^{{2}}+{x}^{{2}}-{2}$$
Therefore, the sum of the polynomials $$\displaystyle-{6}{x}^{{2}}{y}^{{2}}-{x}^{{2}}-{1}$$ and $$\displaystyle{5}{x}^{{2}}{y}^{{2}}+{2}{x}^{{2}}-{1}$$ is $$\displaystyle-{x}^{{2}}{y}^{{2}}+{x}^{{2}}-{2}$$
Now, subtract $$\displaystyle{9}{x}^{{2}}{y}^{{2}}-{3}{x}^{{2}}-{5}$$ from $$\displaystyle-{x}^{{2}}{y}^{{2}}+{x}^{{2}}-{2}$$
So,
$$\displaystyle{\left(-{x}^{{2}}{y}^{{2}}+{x}^{{2}}-{2}\right)}-{\left({9}{x}^{{2}}{y}^{{2}}-{3}{x}^{{2}}-{5}\right)}=-{x}^{{2}}{y}^{{2}}+{x}^{{2}}-{2}-{9}{x}^{{2}}{y}^{{2}}+{3}{x}^{{2}}+{5}$$
$$\displaystyle=-{x}^{{2}}{y}^{{2}}-{9}{x}^{{2}}{y}^{{2}}+{x}^{{2}}+{3}{x}^{{2}}-{2}+{5}$$
$$\displaystyle={\left(-{1}-{9}\right)}{x}^{{2}}{y}^{{2}}+{\left({1}+{3}\right)}{x}^{{2}}+{5}-{2}$$
$$\displaystyle=-{10}{x}^{{2}}{y}^{{2}}+{4}{x}^{{2}}+{3}$$
Hence, the required polynomial is $$\displaystyle-{10}{x}^{{2}}{y}^{{2}}+{4}{x}^{{2}}+{3}$$
###### Not exactly what youâ€™re looking for?

• Live experts 24/7
• Questions are typically answered in as fast as 30 minutes
• Personalized clear answers
{"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 0, "mathjax_display_tex": 1, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0, "katex": 0, "math-container": 0, "wp-katex-eq": 0, "align": 0, "equation": 0, "x-ck12": 0, "texerror": 0}