Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
729+x2+y2−54x−54y+2xy
Evaluate
(27−x−y)2
Use (a+b+c)2=a2+b2+c2+2ab+2ac+2bc to expand the expression
272+(−x)2+(−y)2+2×27(−x)+2×27(−y)+2(−x)(−y)
Calculate
729+(−x)2+(−y)2+2×27(−x)+2×27(−y)+2(−x)(−y)
Calculate
729+x2+(−y)2+2×27(−x)+2×27(−y)+2(−x)(−y)
Calculate
729+x2+y2+2×27(−x)+2×27(−y)+2(−x)(−y)
Calculate
More Steps
Evaluate
2×27(−x)
Multiply the numbers
54(−x)
Multiply the numbers
−54x
729+x2+y2−54x+2×27(−y)+2(−x)(−y)
Calculate
More Steps
Evaluate
2×27(−y)
Multiply the numbers
54(−y)
Multiply the numbers
−54y
729+x2+y2−54x−54y+2(−x)(−y)
Solution
More Steps
Evaluate
2(−x)(−y)
Multiply the numbers
−2x(−y)
Multiply the numbers
2xy
729+x2+y2−54x−54y+2xy
Show Solution
