Find: (A + B)(A + B)

Find : (a + b)(a + b)

Sum

(a + b)(a + b) = (a + b)²= a × a + a × b + b × a + b × b
= a² + ab + ab + b²= a² + b² + 2ab

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Special Product

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Chapter 4: Expansions (Including Substitution) - Exercise 4 (E) [Page 66]

Chapter 4 Expansions (Including Substitution)
Exercise 4 (E) | Q 11.1 | Page 66

Simplify : ( x - 6 )( x - 4 )( x + 2 )

Simplify : ( x - 6 )( x - 4 )( x - 2 )

Simplify using following identity : `( a +- b )(a^2 +- ab + b^2) = a^3 +- b^3`
`(a/3 - 3b)(a^2/9 + ab + 9b^2)`

Find : (a - b)(a - b)(a - b)

Prove that : x²+ y² + z² - xy - yz - zx is always positive.

If x = 3 + 2√2, find :
(i) `1/x`

(ii) `x - 1/x`

(iii) `( x - 1/x )^3`

(iv) `x^3 - 1/x^3`

If x + 5y = 10; find the value of x³ + 125y³ + 150xy − 1000.

Using suitable identity, evaluate (104)³

Using suitable identity, evaluate (97)³

Evaluate :
`[0.8 xx 0.8 xx 0.8 + 0.5 xx 0.5 xx 0.5]/[0.8 xx 0.8 - 0.8 xx 0.5 + 0.5 xx .5]`