Question

1] If A = xy , B = yz and C = zx , then find ABC = _____

2] If P = 4×^2 , T = 5x and R = 5y , then PTR/100 = ____

3] write some polynomials of your own and find their products.

4] simplify : 4y (3y +4 )

5] Add the product : a ( a - b ) , b ( b - c ) , c (c - a ) ​

Answer 1

1) ABC= x^2 x y^2 x z^2

2) 4x^2 x 5x x 5y/ 100

= 100x^3/100

= x^3

3) x^2 + 3x + 5 , x^2 + x + 3

Product = x^4 + 2x^3 + 8x^2 + 14x + 15

4) 4y(3y+4) = 4y(3y) + 4y(4). [Distributive Property]

= 12y^2 + 16y

5) a( a - b ) + b( b - c ) + c( c - a )
=a^2-ab + b^2 - bc + c^2 - ca
a^2 + b^2 + c^2 - ab - bc - ca

Maths Is Just Wonderful

Answer 2

$\bf \huge \colorbox {yellow}{★ANSWER ★}$

1]

$\bf ABC = xy \times yz \times zx = {x}^{2} {y}^{2} {z}^{2}$

2]

$\bf \frac{PTR }{100} = \frac{ {4x}^{2} \times 5x \times 5y}{100} = \frac{100 {x}^{3} y}{100} = {x}^{3} y$

3] The product of some polynomials is given below :

$\bf i) abc \times {a}^{2} bc = {a}^{3} {b}^{2} {c}^{2}$

$\bf ii) xy \times {x}^{2}z \times {yz}^{2} = {x}^{3} {y}^{2} {z}^{3}$

$\bf iii) p \times {q}^{2} \times {r}^{3} = p {q}^{2} {r}^{3}$

4]

$\bf 4y(3y + 4) = 4y \times 3y + 4y \times 4 \\\bf \: = {12y}^{2} + 16y$

5]

$\bf a( a - b) + b(b - c) + c(c - a)$

$\bf = a \times a - a \times b + b \times b - b \times c + c \times c - c \times a$

$\bf = a \times a - a \times b + b \times b - b \times c + c - c \times a$

$\bf = {a}^{2} + {b}^{2} + {c}^{2} - ab - bc - ca$

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hope it helps u ra