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Syllabus

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

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

^{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}.i) (x+3)(x+5)

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

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

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

Plz give me answer fast very urgent

Expert solve this problem if you can

Challenge

^{2}+ 1/x^{2}= 83, find the value of x^{3}- 1/x^{3}Q.12. If 2x - 3y = 10 and xy = 16; find the value of $8{x}^{3}-27{y}^{3}$.

(i) ${\left(\frac{7}{8}x+\frac{4}{5}y\right)}^{2}$ (ii) ${\left(\frac{2}{7}x-\frac{7}{4}y\right)}^{2}$

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

1.81*1.81-1.81*2.19+2.19*2.19

Please solve this.

(x+y-1) whole cube

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

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 :

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

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

^{2}-b^{2}(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

19. (2x + 3y +4z) $\left(4{x}^{2}+9{y}^{2}+16{z}^{2}-6xy-12yz-8zx\right)$.

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

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

Simplify the following :

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