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Syllabus

^{2}+ b^{2}+ c^{2}= 29, find the value of ab - bc - ca.Q35. If a - b = 7 and a

^{2}+ b^{2}= 85, then find the value of a^{3}- b^{3}.Q.12. If 2x - 3y = 10 and xy = 16; find the value of $8{x}^{3}-27{y}^{3}$.

Find the coefficient of x square in the expansion of (x square +2x+3) whole square +( x square - 2x+3) whole square

Please show me how to solve the answer taking (x square+3) as (a) and 2x as (b) and using the formula (a+b) whole square and (a-b) whole square

1.81*1.81-1.81*2.19+2.19*2.19

how did persian becaome an important language in india?

describe the origin and development of urdu as a new language in mideaval period?

name three urdu poets of mideaval period?

what was the outcome of bhakti movement?

mention two factors that contributed to the development of modern languages in the mideaval period?

name two poets of persian language during the sultanate period

ab=8,bc=6,ca=4 the find the value of a?+b?+c?=?

14.A number consists of two digits , the difference of whose digits is 3. If 4 times the number is equal to 7 times the number obtained by reversing the digits, find the number.[Hint. Original number is greater than the number obtained by reversing its digits. In original number, ten's digit is greater than unit's digit.]

Q24. Use (a –b)

^{2}= a^{2}– 2ab + b^{2}to evaluate the following:(i) (99)

^{2 }(ii) (997)^{2}(iii) (9.8)^{2}.Q25. By using suitable identities, evaluate the following:

(i) (103

^{)3 }(ii) (99)^{3}(iii) (10.1)^{3}Q26. If 2a – b + c = 0 , prove that 4a

^{2}– b^{2}+ c^{2}+ 4ac = 0.Hint. 2a – b + c = 0 $\Rightarrow $2a + c = b $\Rightarrow $(2a + c)

^{2}= b^{2}.Q27. If a + b + 2c = 0. prove that a

^{3}^{ }+ b^{3}+ 8c^{3}= 6abc.Q28. If a + b + c = 0, then find the value of $\frac{{a}^{2}}{bc}+\frac{{b}^{2}}{ca}+\frac{{c}^{2}}{ab}$.

Q29. If x + y = 4, then find the value of x

^{3}+ y^{3}+ 12xy – 64.Q30. Without actually calculating the cubes, find the values of :

(i) (27)

^{3}+ (–17)^{3}+ (–10)3 (ii) (–28)^{3}+ (15)^{3}+ (13)^{3}.Q31. Using suitable identify, find the value of :

$\frac{86\times 86\times 86+14\times 14\times 14}{86\times 86-86\times 14+14\times 14}$

(997)square

Q. 2a + 3b = 7 and ab = 2 find $4{a}^{2}+9{b}^{2}$.

(x+y-1) whole cube

In the equation ( 2x-3y+5)(2x-3y-5) in my book it's written to take (2x-3y) as (a) and apply the formula of (a+5)(a-5) but I wanted to ask whether we can also take 5 as b and apply the formula of (a+b)(a-b)= a square - b square

Please help me with this question as fast as possible....

(7 - 2x - 3y)^2

If x square +1/4x square =8 find x cube +1/8x cube

Q.29. If ${\left(x+\frac{1}{x}\right)}^{2}=3$, find ${x}^{3}+\frac{1}{{x}^{3}}$.

Simplify the following :

(2p+3q)(4p square - 6pq +9q square)

^{3}+b^{3}+c^{3}=3abcQ27. If a + b + 2c = 0 , prove that a

^{3}+ b^{3}+ 8c^{3}= 6abc.Q28. If a + b + c = 0, then find the value of $\frac{{a}^{2}}{bc}+\frac{{b}^{2}}{ca}+\frac{{c}^{2}}{ab}$.

Q29. If x + y = 4, then find the value of x

^{3}+ y^{3}+ 12 xy – 64.Q30. Without actually calculating the cubes, find the values of :

(i) (27)

^{3}+ (–17)^{3}+ (–10)^{3}(ii) (–28)^{3 }+ (15)^{3}+ (13)^{3}.