Simplify : ${(2a-3b)}^3$

Important Questions on Special Products and Expansions

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 3

Given that $a+b+c=7$ and $ab+bc+ca=16$, find $a^2{+b}^2+c^2$. $$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 3

Given that $a+b+c=6$ and $a^2+b^2+c^2=14$, find $ab+bc+ca$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 4

Given that $a^2+b^2+c^2=17$ and $ab+bc+ca=16$, find $\left(a+b+c\right)$. $$

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 5

Given that $a+b=5$ and $ab=6$, find $a^3+b^3$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 5

Given that $a-b=4$ and $ab=21$, find $a^3-b^3$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 6

Given $x+\frac{1}{x}=4$, find $x^3+\frac{1}{x^3}$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 6

Given that $x-\frac{1}{x}=5$, find $x^3-\frac{1}{x^3}$.

MEDIUM

8th ICSE

IMPORTANT

ICSE Skills In Mathematics>Chapter 15 - Special Products and Expansions>EXERCISE 15(D)>Q 7

Given $3a+2b=7$ and $ab=2$, find $27a^3+8b^3$.