Complete the statements by filling in the blanks-1 a-b2- - -2 a b-b22 a-b2-a2-2 a b-3- - - - -a-b-a2-b24 x-52- - -

(1) (a + b)2 = a2 + 2ab + b2 (2) (a ndash; b)2 = a2 ndash; 2ab + b2 (3) (a + b) (a ndash; b) = a2 ndash; b2 (4) We know that (x + y)2 = x2 + 2xy + y ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard VIII

Physics

Static Friction

Complete the ...

Question

Complete the statements by filling in the blanks.

(1) (a + b)² = ........ + 2ab + b²
(2) (a – b)² = a² – 2ab + ..........
(3) (......... + .........) (a – b) = a² – b²
(4) (x + 5)² = ......... + ......... + ..........

Open in App

Solution

(1) (a + b)² = a² + 2ab + b²
(2) (a – b)² = a² – 2ab + b²
(3) (a + b) (a – b) = a² – b²
(4) We know that (x + y)² = x² + 2xy + y² .
Comparing (x + 5)² with (x + y)², we get:
x = x and y = 5
Substituting these in the above formula:
(x + 5)² = x² + 2 × x × 5 + 25
= x² + 10x + 25

Suggest Corrections

Similar questions

Which of the following is correct?
a) $(a - b)^{2} = a^{2} + 2 a b - b^{2}$
b) $(a - b)^{2} = a^{2} - 2 a b + b^{2}$
c) $(a - b)^{2} = a^{2} - b^{2}$
d) $(a + b)^{2} = a^{2} + 2 a b - b^{2}$

Find:
$(a + b + c) \times (a + b - c) =$

Q. Question 3

Which of the following is correct?
a)

(a - b)^{2} = a^{2} + 2 a b - b^{2}

(a - b)^{2} = a^{2} - 2 a b + b^{2}

(a - b)^{2} = a^{2} - b^{2}

(a + b)^{2} = a^{2} + 2 a b - b^{2}

Simplify $\frac{a - b}{a} + \frac{a + b}{b}$

Q. Using the identity

(a + b)^{2} = a^{2} + 2 a b + b^{2}

, simplify

(x^{2} + 5)^{2}

Join BYJU'S Learning Program

Complete the statements by filling in the blanks. (1) (a + b)2 = ........ + 2ab + b2 (2) (a – b)2 = a2 – 2ab + .......... (3) (......... + .........) (a – b) = a2 – b2 (4) (x + 5)2 = ......... + ......... + ..........

(1) (a + b)2 = a2 + 2ab + b2 (2) (a – b)2 = a2 – 2ab + b2 (3) (a + b) (a – b) = a2 – b2 (4) We know that (x + y)2 = x2 + 2xy + y2 . Comparing (x + 5)2 with (x + y)2, we get: x = x and y = 5 Substituting these in the above formula: (x + 5)2 = x2 + 2 × x × 5 + 25 = x2 + 10x + 25

Complete the statements by filling in the blanks.

(1) (a + b)² = ........ + 2ab + b²
(2) (a – b)² = a² – 2ab + ..........
(3) (......... + .........) (a – b) = a² – b²
(4) (x + 5)² = ......... + ......... + ..........