Evaluate
\left(x-y\right)^{2}-1
Expand
x^{2}-2xy+y^{2}-1
শেয়ার করুন
ক্লিপবোর্ডে কপি করা হয়েছে
\left(x-y\right)^{2}-1^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, where a=x-y and b=1.
x^{2}-2xy+y^{2}-1^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-1
Calculate 1 to the power of 2 and get 1.
\left(x-y\right)^{2}-1^{2}
Multiplication can be transformed into difference of squares using the rule: \left(a-b\right)\left(a+b\right)=a^{2}-b^{2}, where a=x-y and b=1.
x^{2}-2xy+y^{2}-1^{2}
Use binomial theorem \left(a-b\right)^{2}=a^{2}-2ab+b^{2} to expand \left(x-y\right)^{2}.
x^{2}-2xy+y^{2}-1
Calculate 1 to the power of 2 and get 1.
উদাহরণ
দ্বিঘাত সমীকরণ
{ x } ^ { 2 } - 4 x - 5 = 0
ত্রিকোণমিতি
4 \sin \theta \cos \theta = 2 \sin \theta
রৈখিক সমীকরণ
y = 3x + 4
পাটিগণিত
699 * 533
মেট্রিক্স
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
সমকালীন সমীকরণ
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
ডিফারেন্সিয়েশন
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
ইন্টিগ্রেশন
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
লিমিট
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}