The correct option is A 10920 104 × 105 = (100+4)(100+5) Using the identity (x+a)(x+b) = x^2 + (a+b)x + ab = 100^2 + (4+5)100 + 4 × 5 =10000 + 400 + 500 + 20 = ...

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

Byju's Answer

Standard VIII

Mathematics

Expansion of (x+a)(x+b)

Evaluate: 104...

Question

Evaluate: $104 \times 105$

10900

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10290

No worries! We‘ve got your back. Try BYJU‘S free classes today!

10920

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

10090

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is
A

10920

$104 \times 105 = (100 + 4) (100 + 5)$

Using the identity
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

$= 100^{2} + (4 + 5) 100 + 4 \times 5$

$= 10000 + 400 + 500 + 20$

$= 10000 + 900 + 20$

$= 10920$

Suggest Corrections

Similar questions

Evaluate :

105^{2} - 104^{2}

Q. Evaluate

106 \times 104

Evaluate (104)³

Evaluate:
(i) $(38)^{2} - (37)^{2}$
(ii) $(75)^{2} - (74)^{2}$
(iii) $(92)^{2} - (91)^{2}$
(iv) $(105)^{2} - (104)^{2}$
(v) $(141)^{2} - (140)^{2}$
(vi) $(218)^{2} - (217)^{2}$

Q. Solve

(8.41 \times 10^{4}) \div (4.3 \times 10^{5})

Join BYJU'S Learning Program

Evaluate: 104×105

The correct option is A 10920104×105=(100+4)(100+5) Using the identity (x+a)(x+b)=x2+(a+b)x+ab =1002+(4+5)100+4×5 =10000+400+500+20 =10000+900+20 =10920

Evaluate: $104 \times 105$

The correct option is
A

10920

$104 \times 105 = (100 + 4) (100 + 5)$

Using the identity
$(x + a) (x + b) = x^{2} + (a + b) x + a b$

$= 100^{2} + (4 + 5) 100 + 4 \times 5$

$= 10000 + 400 + 500 + 20$

$= 10000 + 900 + 20$

$= 10920$