Find the product using identities :
(a) (x + 4) ( x + 10)
(b) (4a + 3b)3
Answers
Answer:
(4a+3b)
2
−(4a−3b)
2
+48ab
=((4a)
2
+2(4a)(3b)+(3b)
2
)−((4a)
2
−2(4a)(3b)+(3b)
2
)+48ab
=(4a)
2
+2(4a)(3b)+(3b)
2
−(4a)
2
+2(4a)(3b)−(3b)
2
+48ab
=48ab+48ab
=96ab
Answer:
the following expressions:
(i) 5xyz2 – 3zy
(ii) 1 + x + x2
(iii) 4x2y2 – 4x2y2z2 + z2
(iv) 3 – pq + qr – rp
(v)
(vi) 0.3 a – 0.6 ab + 0.5 b
Sol. (i) 5xyz2 – 3zy
In the expression 5xyz2 – 3zy, the terms are 5xyz2 and –3zy.
coefficient of xyz2 in the term 5xyz2 is 5.
coefficient of zy in the term –3zy is –3.
(ii) 1 + x + x2
In the expression 1 + x + x2, the terms are 1, x and x2.
Coefficient of x° in the term 1 is 1.
Coefficient of x in the term x is 1.
Coefficient of x2 is the term x2