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^{2}-b^{2}^{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}.If x square +1/4x square =8 find x cube +1/8x cube

^{2 }− 7𝑎 − 1 = 0 and 𝑎 ≠ 0;find :

i) 𝑎 − 1/𝑎

ii) 𝑎

^{2}+ 1/𝑎^{2}iii) 𝑎 + 1/a

find the value of (a-1/a)

^{3}Plzz answer question

^{2}+y^{2}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

(3x-1)whole square - (3x-2)(3x+1)

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

^{2}– (7𝑥 − 4𝑦)^{2}1.81*1.81-1.81*2.19+2.19*2.19

^{2}+9b^{2}I have a doubt regarding the below shared question that in the third step we got 4x^2 + 28xy + 49 y^2 so 4 we got when we solved the above equation that 2x^2 and same goes for 7y^2 , but why still we write 4x^2 and 49 y^2 in the solution shouldn't it be written simply 4x and 49 y

And the final answer be like 4x + 28 xy + 49y

So my overall doubt is why are we still squaring the numbers in our solution if we already got the solution by squaring in the above step like (2x)^2 = 4x

Please solve this.

^{2 }simplify using suitable identity(x+y-1) whole cube

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

i) (x+3)(x+5)

ii)(x+3)(x-5)

iii)(x-7)(x+9)

iv)(x-2y)(x-3y)

Please help me solve question 29.

i) ( x - 7 )( x + 9)

ii) (x - 2y)( x - 3y)

(2x-1/x)(3x+2/x)

^{3}+1/x^{3}^{2}+16y^{2}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 :

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

(3x - 5y - 2z)(3x - 5y + 2z)

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.]

(997)square