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Algebraic Expressions Class 7 ( Questions)

📝 Algebraic Expressions ( Questions)



Q. Find each of the following products
a)  `-4/7xyz (9/2 x^2yz - 3/4xyz^2)`
b)  `1.5a (10a^2b - 100ab^2)`
c)  `10a^2( 0.1a - 0.5b)`

Q. Find the product `-3y(xy + y^2)` and find its value for `x = 4` and `y = 5`

Q. Find the values of the following polynomials at `a = – 2` and `b = 3`:
(a)  `a^2 + 2ab + b^2` 
(b)  `a^2 – 2ab + b^2` 
(c)  `a^3 + 3a^2b + 3ab^2 + b^3` 
(d)  `a^3 – 3a^2b + 3ab^2 – b^3` 
(e)  `\frac {a^2 + b^2}{3}`
(f)  `\frac {a^ 2 - b^2}{3}`
(g)  `a /b + b/ a` 
(h)  `a^2 + b^2 – ab – b^2 – a^2`

Simplify
(1) `a^2b (a- b^2) + ab^2 (4ab - 2a^2) - a^3b (1- 2b)`
(2)  `4st ( s- t) -6s^2 (t- t^2) - 3t^2 (2s^2 - s) + 2st (s - t)`
(3) `3x^2 + 2(x+ 2) -3x(2x+1)`
(4) `x( x+ 4) + 3x(2x^2 -1) + 4x^2 + 4`



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