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Question -

सरल कीजिए :
(i) 2x (3x + 5y) – 5y (2x – 3y)
(ii) x (y – z) + 2y (z-x) + z (x -y)
(iii) y_2 (y_2 +1) – y_3 (y +1) + y (y_2 – y)
(iv) x (1+x_2) – x_2 – (x – 1) – (x +x_2)



Answer -

(i) 2x (3x+ 5y) – 5y (2x – 3y)
हल :
2x (3x + 5y) – 5y × (2x – 3y)
= 6x2 + 10xy – 10xy + 15y2 =6x2 + 15y2

(ii) x (y – z) + 2y (z-x) + z (x -y)
हल :
x × (y – z) + 2y × (z – x) + z × (x – y)
= xy – xz + 2yz – 2xy + xz – yz = -xy + yz

(iii) y2 (y2 +1)– y3 (y +1) + y (y2 –y)
हल :
y2 × (y2 +1)– y3 × (y +1) + y × (y2 –y)
= y4 +y2 – y4 – y3 +y3 – y2 = 0

(iv) x (1+x2) – x2 –(x – 1) – (x +x2)
हल :
x (1+x2) – x2 ×(x – 1) – (x +x2)
= x + x3 – x3 + x2 –x – x2 = 0

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