Q5 of 157 Page 13

Find the product of the following :

(a + b) (2a2 – 5ab + 3b2)

a × (2a2 – 5ab + 3b2) + b × (2a2 – 5ab + 3b2)


⇒ ( a × 2a2 - a × 5ab + a × 3b2) + (b × 2a2 – b × 5ab + b × 3b2)


⇒ ( 2a2 + 1 – 5a1 + 1b + 3ab2) + (2a2b – 5ab2 + 3b2 + 1)


(∵ an + m = an × am)


⇒ ( 2a3 – 5a2b + 3ab2) + (2a2b – 5ab2 + 3b3)


⇒ 2a3 – 5a2b + 2a2b + 3ab2– 5ab2 + 3b3


⇒ 2a3 + (– 5 + 2)a2b + (3-5)ab2 + 3b3


⇒ 2a3 - 3a2b - 2ab2 + 3b3


More from this chapter

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3

Find out the product :

(i) 2a, 3a2, 5a4


(ii) 2x, 4y, 9z


(iii) ab, bc, ca


(iv) m, 4m, 3m2, - 6m3


(v) xyz, y2z, yx2


(vi) lm2, mn2, ln2


(vii) -2p, -3q, -5p2

 4

Find the product :

(i) (a3) × (2a5) × (4a15)


(ii) (5 – 2x) (4 + x)


(iii) (x + 3y) (3x – y)


(iv) (3x + 2) (4x – 3)


(v)

5

Find the product of the following :

(2x + 3y) (x2 – xy + y2)

 5

Find the product of the following :

(x + y + z) (x + y – z)