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CBSE Class 9 Answered

s i m p l f y colon space 5 open parentheses 3 x plus y close parentheses squared plus 6 open parentheses 3 x plus y close parentheses minus 8 space a n d space a l s o space f a c t o r i s e space x to the power of 4 minus 3 x squared plus 2 comma space a cubed open parentheses b minus c close parentheses cubed plus b cubed open parentheses c minus a close parentheses cubed plus c cubed open parentheses a minus b close parentheses cubed
Asked by kishor.kp14 | 26 Jun, 2019, 04:40: PM
answered-by-expert Expert Answer
Let (3x + y) = z. Then, the expression becomes:
5z2 + 6z - 8
= 5z2 + 10z - 4z - 8
= 5z(z + 2) - 4(z + 2)
= (z + 2)(5z - 4)
= (3x + y + 2) [5(3x + y) - 4]
= (3x + y + 2) (15x + 5y - 4)
 
Also, x4-3x2+2 can be factorised as follows:
x4-3x2+2=x4-2x2-x2+2
=x2(x2-2)-(x2-2)
=(x2-1)(x2-2)
=(x+1)(x-1)(x+2)(x-2)
Answered by Renu Varma | 27 Jun, 2019, 10:14: AM

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