( 4 y + 3 x - 5 z ) ( 3 x - 4 y + 5 z
Evaluate
-\left(4y-5z\right)^{2}+9x^{2}
Expand
9x^{2}-16y^{2}+40yz-25z^{2}
Share
Copied to clipboard
12yx-16y^{2}+20yz+9x^{2}-12xy+15xz-15zx+20yz-25z^{2}
Apply the distributive property by multiplying each term of 4y+3x-5z by each term of 3x-4y+5z.
-16y^{2}+20yz+9x^{2}+15xz-15zx+20yz-25z^{2}
Combine 12yx and -12xy to get 0.
-16y^{2}+20yz+9x^{2}+20yz-25z^{2}
Combine 15xz and -15zx to get 0.
-16y^{2}+40yz+9x^{2}-25z^{2}
Combine 20yz and 20yz to get 40yz.
12yx-16y^{2}+20yz+9x^{2}-12xy+15xz-15zx+20yz-25z^{2}
Apply the distributive property by multiplying each term of 4y+3x-5z by each term of 3x-4y+5z.
-16y^{2}+20yz+9x^{2}+15xz-15zx+20yz-25z^{2}
Combine 12yx and -12xy to get 0.
-16y^{2}+20yz+9x^{2}+20yz-25z^{2}
Combine 15xz and -15zx to get 0.
-16y^{2}+40yz+9x^{2}-25z^{2}
Combine 20yz and 20yz to get 40yz.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\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]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}