Question

24. Simplify (a’ + 5) (a+ 3)
25. Find the common factors of 16 x", -4 x² , 32 x​

Answer 1

Answer:

a

(2

+5)(b

3

+3)+5

=a

2

(b

3

+3)+5(b

3

+3)+5

=a

2

b

3

+3a

2

+5b

3

+15+5

=a

2

b

3

+3a

2

+5b

3

+20

Answer 2

$\mathtt\red{Question} \\24. \: Simplify \: (a^{2} + 5) (b^{3} + 3) + 5 \\ \\ \mathtt \blue{Answer}\\ ( {a}^{2} + 5)( {b}^{3} + 3) + 5 \\ = {a}^{2} ( {b}^{3} + 3) + 5( {b}^{3} + 3) + 5 \\ = {a}^{2} {b}^{3} + 3 {a}^{2} + 5 {b}^{3} + 15 + 5 \\ = {a}^{2} {b}^{3} + 3 {a}^{2} + 5 {b}^{3} + 20 \: \: \: \: \: \: \: \: \\ \\ \\ \mathtt\pink{Question} \\ 25. \: Find \: the \: common \: factors \: of \\ 16 x^{3} , \: -4 x² , \: 32 x \\ \\ \mathtt \green{{Answer}}\\Find = Common \: Factor \\ Given = 16^3,\: -4x^2,\: 32x \: \: \: \: \: \\ \underline{So,} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 16x^3 = 2×2×2×2×x×x×x \\ -4x^2 = -1×2×2×x×x \: \: \: \: \: \: \: \: \: \: \: \: \: \\ 32x = 2×2×2×2×2×x \: \: \: \: \: \: \\ \underline{So,} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ Common \: Factor = 2×2×x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 4×x \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \fbox{=4x} \\ \fbox{Hence, \: Common Factor \: is \: 4x}$

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