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3 years ago

Expand this expression (x-y)²

Mathematics

1 answer:

pochemuha3 years ago

8 0

Answer:

x^2 - 2xy + y^2.

Step-by-step explanation:

(x - y)^2

= (x - y)(x - y)

= x(x -y) - y(x - y)

= x^2 - xy - xy + y^2

= x^2 - 2xy + y^2.

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3 years ago

The diagonals of a rhombus are 14 and 48cm. Find the length of a side of the rhombus.

FromTheMoon [43]

Step-by-step explanation:

Let ABCD be a rhombus. So, AC (AC = 14 cm) and BD (BD=48 cm) will be its diagonals. Let us assume that diagonals are intersecting at point O.

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$\because \: OA = \frac{1}{2} \times AC \\ \\ \therefore \: OA = \frac{1}{2} \times 14 \\ \\ \huge \red{ \boxed{\therefore \: OA = 7 \: cm}} \\ \\ \because \: OB = \frac{1}{2} \times BD \\ \\ \therefore \: OB = \frac{1}{2} \times 48 \\ \\ \huge \red{ \boxed{\therefore \: OB = 24 \: cm}} \\ \\ In \: \triangle OAB, \: \: \angle AOB=90° \\ \therefore \: by \: Pythagoras \: Theorem \\ AB= \sqrt{OA^2 +OB^2 } \\ = \sqrt{7^2 +24^2 } \\ = \sqrt{49+576 } \\ = \sqrt{625 } \\ \huge \orange{ \boxed{\ \therefore \:AB= 25 \: cm.}}$

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4 years ago

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Expand this expression (x-y)²​

Expand this expression (x-y)²