Q. 44.0( 3 Votes )

Find the product :

(i) (a3) × (2a5) × (4a15)

(ii) (5 – 2x) (4 + x)

(iii) (x + 3y) (3x – y)

(iv) (3x + 2) (4x – 3)

(v)

Answer :

(i) (2× 4) (a3 × a5 × a15)


8 a3 + 5 + 15


8 a23 ( an + m = an × am)


ii. 5 × (4 + x) -2x × (4 + x)


(5× 4 + 5x) – (2x × 4 + 2x × x)


(20 + 5x) – (8x + 2x1 + 1 ) ( an + m = an × am)


(20 + 5x) – (8x + 2x2 )


20 + 5x – 8x - 2x2


-2x2 -3x + 20


iii. x × (3x -y) + 3y × (3x -y)


(x × 3x + x × (-y)) + (3y × 3x + 3y × (-y))


(3x1 + 1 - xy) + ((3× 3)xy – 3y1 + 1 ) ( an + m = an × am)


(3x2 - xy ) + (9xy – 3y2 )


3x2 - xy + 9xy - 3y2


3x2 + 8xy - 3y2


iv. 3x × (4x-3) + 2 × (4x-3)


(3x × 4x + 3x × (-3)) + (2× 4x + 2 × (-3))


((3× 4)x1 + 1 -9x) + (8x -6) ( an + m = an × am)


12x2 -9x + 8x -6


12x2 -x -6



v. ()x( abX


= x()


=


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